{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "\n",
    "<p align=\"center\">\n",
    "    <img src=\"https://github.com/GeostatsGuy/GeostatsPy/blob/master/TCG_color_logo.png?raw=true\" width=\"220\" height=\"240\" />\n",
    "</p>\n",
    "\n",
    "## Interactive Linear Regression in Python for Engineers, Data Scientists and Geoscientists \n",
    "\n",
    "### Michael Pyrcz, Professor, The University of Texas at Austin \n",
    "\n",
    "#### Contacts: [Twitter/@GeostatsGuy](https://twitter.com/geostatsguy) | [GitHub/GeostatsGuy](https://github.com/GeostatsGuy) | [www.michaelpyrcz.com](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446)\n",
    "\n",
    "This is an interactive dashboard to demonstrate the training (fitting the model to training data) for **Linear Regression** in Python with the SciPy package, [Stats](https://docs.scipy.org/doc/scipy/reference/stats.html) module.    \n",
    "\n",
    "##### My Other Resources\n",
    "\n",
    "I have not included all the details, e.g., for the test assumptions in this document. These are the related lectures with linked Python interactive dashboards and well-documented demonstrations (like this one):\n",
    "\n",
    "* [Bivariate Statistics](https://youtu.be/wZwYEDqB4A4)\n",
    "* [Q-Q plots](https://youtu.be/RETZus4XBNM) \n",
    "* [Linear Regression](https://youtu.be/HzWq7pj2F_w) \n",
    "* [Norms](https://youtu.be/JmxGlrurQp0)\n",
    "\n",
    "#### Load the required libraries\n",
    "\n",
    "The following code loads the required libraries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os                                                   # to set current working directory \n",
    "import numpy as np                                          # arrays and matrix math\n",
    "import scipy.stats as st                                    # statistical methods\n",
    "from sklearn.linear_model import LinearRegression           # scikit-learning multilinear regression\n",
    "import pandas as pd                                         # DataFrames\n",
    "import matplotlib.pyplot as plt                             # for plotting\n",
    "plt.rc('axes', axisbelow=True)                              # set axes and grids in the background for all plots\n",
    "import math                                                 # for square root"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If you get a package import error, you may have to first install some of these packages. This can usually be accomplished by opening up a command window on Windows and then typing 'python -m pip install [package-name]'. More assistance is available with the respective package docs.  \n",
    "\n",
    "#### Declare Functions\n",
    "\n",
    "For the more complicated operations (e.g., prediction intervals), I made functions for readable code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Set the working directory\n",
    "\n",
    "I always like to do this so I don't lose files and to simplify subsequent read and writes (avoid including the full address each time).  Also, in this case make sure to place the required (see below) data file in this working directory.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#os.chdir(\"C:\\PGE337\")                                      # set the working directory"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Using You Own Data\n",
    "\n",
    "I have set up this workflow so you can easily replace my provided demonstration dataset with your own data.\n",
    "\n",
    "1. Replace the file to load below with your own file. You could load from the cloud or a local file, I have provided examples for both.\n",
    "\n",
    "2. Below, specify the column from your DataFrame below for the predictor feature, X, and the response feature, y.\n",
    "\n",
    "3. Also, set the range of the predictor and response features for plotting,and the features' name and features' units.\n",
    "\n",
    "#### Loading Data\n",
    "\n",
    "Let's load the provided dataset. 'Density_Por_data.csv' is available at https://github.com/GeostatsGuy/GeoDataSets. It is a comma delimited file with 105 porosity and density measures from a rock unit.\n",
    "\n",
    "* density ($g/cm^3$)\n",
    "* porosity ($\\%$). \n",
    "\n",
    "We load it with the pandas 'read_csv' function into a data frame we called 'df' and then preview it by printing a slice and by utilizing the 'head' DataFrame member function (with a nice and clean format, see below)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Working with 10 data.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Density</th>\n",
       "      <th>Porosity</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>2.216014</td>\n",
       "      <td>9.376752</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>76</th>\n",
       "      <td>2.090105</td>\n",
       "      <td>10.743471</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75</th>\n",
       "      <td>1.768993</td>\n",
       "      <td>11.531035</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>1.734373</td>\n",
       "      <td>13.981934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>1.552713</td>\n",
       "      <td>14.120720</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     Density   Porosity\n",
       "33  2.216014   9.376752\n",
       "76  2.090105  10.743471\n",
       "75  1.768993  11.531035\n",
       "9   1.734373  13.981934\n",
       "40  1.552713  14.120720"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#df = pd.read_csv(\"Density_Por_data.csv\")                    # read a .csv file in as a DataFrame\n",
    "df = pd.read_csv(r\"https://raw.githubusercontent.com/GeostatsGuy/GeoDataSets/master/Density_Por_data.csv\") # load data from Dr. Pyrcz's GitHub repository\n",
    "df = df.sample(frac = 0.1,replace = False, random_state = 17)                   # random sample without replacement, for fewer data and easier visualization\n",
    "print('Working with ' + str(len(df)) + ' data.')\n",
    "df.head()                                                    # we could also use this command for a table preview "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is useful to review the summary statistics of our loaded DataFrame.  That can be accomplished with the 'describe' DataFrame member function.  We transpose to switch the axes for ease of visualization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Density</th>\n",
       "      <td>10.0</td>\n",
       "      <td>1.834286</td>\n",
       "      <td>0.433337</td>\n",
       "      <td>1.06796</td>\n",
       "      <td>1.598128</td>\n",
       "      <td>1.854829</td>\n",
       "      <td>2.184537</td>\n",
       "      <td>2.339324</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Porosity</th>\n",
       "      <td>10.0</td>\n",
       "      <td>11.561390</td>\n",
       "      <td>3.525219</td>\n",
       "      <td>4.96824</td>\n",
       "      <td>9.453360</td>\n",
       "      <td>11.137253</td>\n",
       "      <td>14.086023</td>\n",
       "      <td>16.786859</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          count       mean       std      min       25%        50%        75%  \\\n",
       "Density    10.0   1.834286  0.433337  1.06796  1.598128   1.854829   2.184537   \n",
       "Porosity   10.0  11.561390  3.525219  4.96824  9.453360  11.137253  14.086023   \n",
       "\n",
       "                max  \n",
       "Density    2.339324  \n",
       "Porosity  16.786859  "
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe().transpose()                                    # calculate summary statistics"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we extract the samples from the DataFrame into separate 1d ndarrays called 'por' and 'den' for convenience."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Predictor feature: Density, label: Density ($g/cm^3$)\n",
      "Response feature: Porosity, label: Porosity (%)\n"
     ]
    }
   ],
   "source": [
    "y = df['Porosity'].values                                  # shallow copy features to 1D ndarrays for convenience \n",
    "yname = 'Porosity'; yunits = '%'\n",
    "ylabel = 'Porosity ('+ yunits +')'\n",
    "ymin = 0.0; ymax = 25.0\n",
    "X = df['Density'].values; xunits = '$g/cm^3$'\n",
    "xname = 'Density'; \n",
    "xlabel = 'Density (' + xunits + ')'\n",
    "xmin = 1.0; xmax = 2.4\n",
    "dX = np.linspace(xmin,xmax,100)                              # a 1D array of 100 density values for calculation and plotting\n",
    "\n",
    "print('Predictor feature: ' + xname + ', label: ' + (xlabel))\n",
    "print('Response feature: ' + yname + ', label: ' + ylabel)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Linear Regression Model\n",
    "\n",
    "Let's first calculate the linear regression model, a model object from SciPy package, stats module.\n",
    "\n",
    "This is our model:\n",
    "\n",
    "\\begin{equation}\n",
    "por = b_1 \\times den + b_0\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Output from linregress function is <class 'scipy.stats._stats_mstats_common.LinregressResult'>:\n",
      "LinregressResult(slope=-7.382413926717521, intercept=25.102846211945106, rvalue=-0.9074828304159511, pvalue=0.00028629737143429134, stderr=1.2082490694086176, intercept_stderr=2.271253484351185)\n",
      "\n",
      "Linear Regression Model:\n",
      "  Slope: -7.38\n",
      "  Intercept: 25.1\n",
      "  Square Root of R-squared: -0.91\n",
      "  Slope p-value: 0.0\n",
      "  Slope standard error: 1.21\n"
     ]
    }
   ],
   "source": [
    "linear = st.linregress(X,y)                              # output is the linear regression model\n",
    "print('\\nOutput from linregress function is ' + str(type(linear)) + ':')\n",
    "print(linear)\n",
    "print('\\nLinear Regression Model:')\n",
    "print('  Slope: ' + str(round(linear.slope,2)))\n",
    "print('  Intercept: ' + str(round(linear.intercept,2)))\n",
    "print('  Square Root of R-squared: ' + str(round(linear.rvalue,2)))\n",
    "print('  Slope p-value: ' + str(round(linear.pvalue,2)))\n",
    "print('  Slope standard error: ' + str(round(linear.stderr,2)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "aslope = 6.0\n",
    "\n",
    "\n",
    "yhat = linear.intercept + linear.slope*X\n",
    "ayhat = linear.intercept + aslope*X\n",
    "dif_mean = np.average(y) - np.average(ayhat)\n",
    "aint = linear.intercept + dif_mean\n",
    "ayhat2 = aint + aslope*X\n",
    "\n",
    "plt.subplot(131)\n",
    "plt.scatter(X, y,color='black',alpha=0.8,facecolor='grey',label='sample data',zorder=10)\n",
    "plt.scatter(X, yhat,color='black',s=40,facecolor='darkorange',alpha=0.8,label='model',zorder=10)\n",
    "plt.plot(dX, linear.intercept + linear.slope*dX, 'black', label='linear regression model',zorder=1)\n",
    "\n",
    "for i in range(0,len(X)):\n",
    "    plt.plot([X[i],X[i]],[y[i],yhat[i]],c='grey',alpha=0.8,ls='--',zorder=1)\n",
    "plt.title('Sample Data and Least Squares Best Fit Linear Regression Model'); plt.xlabel(xlabel); plt.ylabel(ylabel)\n",
    "plt.legend()\n",
    "plt.grid(True); plt.xlim([1.0,2.4]); plt.ylim([5,20])\n",
    "\n",
    "plt.subplot(132)\n",
    "plt.scatter(X, y,color='black',alpha=0.8,facecolor='grey',label='sample data',zorder=10)\n",
    "plt.scatter(X, ayhat2,color='black',s=40,facecolor='darkorange',alpha=0.8,label='our model',zorder=10)\n",
    "plt.plot(dX, aint + aslope*dX, 'black', label='our linear model',zorder=1)\n",
    "\n",
    "for i in range(0,len(X)):\n",
    "    plt.plot([X[i],X[i]],[y[i],ayhat2[i]],c='grey',alpha=0.8,ls='--',zorder=1)\n",
    "plt.title('Sample Data and Our Linear Regression Model'); plt.xlabel(xlabel); plt.ylabel(ylabel)\n",
    "plt.legend()\n",
    "plt.grid(True); plt.xlim([1.0,2.4]); plt.ylim([5,20])\n",
    "\n",
    "for ssplope in range(0.0,12.0,0.5):\n",
    "    \n",
    "    sayhat = linear.intercept + sslope*X\n",
    "    sdif_mean = np.average(y) - np.average(sayhat)\n",
    "    ssint = linear.intercept + sdif_mean\n",
    "    ssayhat2 =ssint + aslope*X\n",
    "    mse[i] = np.linalg.norm(ssayhat2 - y)\n",
    "    \n",
    "\n",
    "\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.0, top=1.2, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Visualize the Linear Regression Model\n",
    "\n",
    "Now let's visualize the linear regression model with the data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The model parameters are, slope (b1) = -9.1, and the intercept (b0) = 28.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print('The model parameters are, slope (b1) = ' + str(round(linear.slope,2)) + ', and the intercept (b0) = ' + str(round(linear.intercept,2)))\n",
    "plt.scatter(X, y, color = 'darkorange',edgecolor='black',alpha=0.8,label='sample data',zorder=10)\n",
    "plt.plot(dX, linear.intercept + linear.slope*dX, 'black', label='linear regression model',zorder=1)\n",
    "plt.title('Sample Data and Linear Regression Model'); plt.xlabel(xlabel); plt.ylabel(ylabel)\n",
    "plt.legend(); plt.grid(); plt.ylim([ymin,ymax]); plt.xlim([xmin,xmax])\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=1.0, top=1.4, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Model Confidence Intervals\n",
    "\n",
    "Let's calculate the 95% confidence interval for the linear regression model slope parameter, $b_1$, of our model.\n",
    "\n",
    "\\begin{equation}\n",
    "CI_{\\hat{b_1}}: \\hat{b}_1 ± t_{(\\frac{\\alpha}{2},n-2)} \\times SE_{b_1} \n",
    "\\end{equation}\n",
    "\n",
    "\\begin{equation}\n",
    "CI_{\\hat{b_0}}: \\hat{b}_0 ± t_{(\\frac{\\alpha}{2},n-2)} \\times SE_{b_0} \n",
    "\\end{equation}\n",
    "\n",
    "where standard errors are calculated as:\n",
    "\n",
    "\\begin{equation}\n",
    "SE_{b_1} = \\frac{\\sqrt{n}\\hat{\\sigma}}{\\sqrt{n-1} \\sqrt{\\sum(x_i - \\overline{x})^2  } }\n",
    "\\end{equation}\n",
    "\n",
    "\\begin{equation}\n",
    "SE_{b_0} = \\sqrt{ \\frac{\\hat{\\sigma}^2}{n-2} }\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The model parameters confidence intervals at a 0.95 significance level are:\n",
      "Slope: P2.5 = -10.26 , P97.5 = -7.94\n"
     ]
    },
    {
     "data": {
      "image/png": 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TJ08exd3dXYmKioo33dvbW7Gzs1NiYmIURVGUAgUKKHXr1v3s9oWFhSmA4u/v/8V2+PhEMHv2bAVQVq9eHW++sWPHKoCyc+fOuGmAkiVLFuXFixdx0x48eKCo1Wpl9OjRX1zvh4lzRESEYm5urkyfPl1RFEXp3bu3kiNHDkWj0XySOP/3338KEO/EryiKcuzYMQWI++yePn2qGBsbf/ZY8OE2jx49WlGr1Z98d//++28FULZt2xY3TdvE+UOx++3ixYsVPT29uB8IivK+/QHl2LFj8d6TL18+pWrVqnF/9+3bV1GpVMqZM2fizVe5cmWtjg3fcrz+0X3CxMQk3oWG6OhoJU+ePIqrq2vctO89BiiKoowZM0YBlO3bt39xm2P169cvwTbu1KmTolKp4o4ZsftkwYIF4yWfx48fVwBlxYoVcdM+d7z/+Lzyzz//KEC847mivP8x/nHiXLVqVSVbtmzK8+fP483btWvXeD8sYxPTj3+0rF69WgHiks+IiAjF0tJS+fnnn+MdKz+m7THncz6XOH8tPkVRlJo1a35yAUtR/j8h/TAXUBRFOXHihAIoM2fOjJv2uWN/WFiYYmhoGO94riiK0qhRIyVLliyfbG+sL51nPv5udO3aVcmYMWOCy0kLpKtGIrO2tubgwYOcOHGCMWPGUKdOHa5cuUL//v0pWLBgvK4C169fp2nTpmTNmhU9PT0MDAwoX748AP/991+85apUKmrUqBH3t76+Pq6urtjZ2eHu7h433crKCltb23jdGmI1a9Ys3t9lypTByckp7lZ4QrZs2YJKpaJ58+ZER0fH/cuaNSuFCxfW6qn1r1E+uu3z8uVL+vbti6urK/r6+ujr62Nubs6rV68+aZfPefToER07dsTR0RF9fX0MDAxwcnICPm3b5FCkSBGyZ88e97exsTG5c+eO9zlt2bKFChUqYG9vH6+tq1evDsD+/fvj5g0MDKRSpUpkyJAhbt/5888/CQ8P/6RSSaFChcidO7fWsb569QoDAwMMDAywsbGhU6dO/Prrr4wcOTJunh07dhAdHU3Lli3jxWpsbEz58uXj9ovLly/z4MEDGjVqFG8d2bNnp2zZsgmuv3bt2hgYGMT9HRISwqVLl+L23w/XV6NGDe7fvx93q7NEiRL8888/9OvXj3379n3Sn9PKygoXFxfGjx/PpEmTCAoK0qrKQGBgIGZmZp88IBl7K3rPnj3xpleoUAELC4u4v7NkyfLZ7+XnmJub88svv7BgwQKio6NZvHgxbdq0SbCaRux3+OPKFiVKlCBv3rxx8R05coS3b99+9ljwoS1btlCgQAGKFCkSr82rVq2qdcWKjwUFBVG7dm2sra3j9tuWLVsSExPzyW36rFmzxusnC+/35Q/bcO/eveTPn5/ChQvHm69p06ZaxfMtx+uPfes+UbFixXjPcejp6fHrr78SEhIS153mW44BPyowMJB8+fJ90satW7dGURQCAwPjTa9ZsyZ6enpxf8d2+fiWfTpW7P768X748ef29u1b9uzZQ7169TA1Nf3ku//27dt43UXg/fHjQx/HefjwYV68eEHnzp0/W5nmW4453+pr8X3Jli1byJgxI7Vq1YoXU5EiRciaNesn38mEjv3W1tbUqlWLRYsWxR37nj59ysaNG2nZsmW8bkvfcp75UIkSJXj27BlNmjRh48aNSd5FMrlJ4pxEihcvTt++fVmzZg337t2jR48e3Lx5M+6Bk5cvX+Lh4cGxY8cYMWIE+/bt48SJE6xbtw7gkxO+qakpxsbG8aYZGhpiZWX1yboNDQ15+/btJ9OzZs2a4LTw8PDPbsfDhw9RFIUsWbLEJVOx/44ePfrDX4hXr14RHh6Ovb193LSmTZsyffp02rVrx44dOzh+/DgnTpwgc+bMWj3YotFoqFKlCuvWraNPnz7s2bOH48ePxx1gk/LhmM+xtrb+ZJqRkVG8WB4+fMjmzZs/aef8+fMDxLX18ePHqVKlCvC+7/C///7LiRMnGDBgAPDp9tnZ2X1TrCYmJpw4cYITJ06wefNmPD09WbFiRVyf+thYAX766adP4l21alVcrLH7VkIPfn7uYdCP441dl5+f3yfr6ty5M/D/bTN16lT69u3Lhg0bqFChAlZWVtStW5erV68C73+A7tmzh6pVqzJu3DiKFi1K5syZ6d69+xf7xYaHh5M1a9ZPTrS2trbo6+t/8h3S5vPWxm+//cbp06cZOXIkjx8//mzJt9j1J/RZ29vbx70e+//njgUfevjwIcHBwZ+0uYWFBYqifPN3/9atW3h4eHD37l2mTJkSl7DG9lX9uG20acPYz+Vr2/I1XzteJ+Rb94kvxRk7r7bHgITE/jC/ceOGFlv8fp2f218+jCnWx59H7AO733M8DQ8PR19f/5NlftxG4eHhREdHM23atE/aJPZC0sdt8rU4Y/sCf+kh7m855nyrH2nHhw8f8uzZMwwNDT+J68GDB5/E9Lljf9u2bbl79y67du0CYMWKFURGRsY7vnzreeZDLVq0YMGCBYSGhtKgQQNsbW0pWbJk3PpSO6mqkQwMDAwYPHgwkydP5vz588D7X3L37t1j3759cVeZAZ49e5ZkcTx48CDBaa6urp99j42NDSqVioMHDyZY2eBHqx1s3bqVmJiYuAexnj9/zpYtWxg8eDD9+vWLmy8yMpInT55otczz589z9uxZFi5cSKtWreKmh4SE/FCsSc3GxoZChQrFu7L7odgT2sqVKzEwMGDLli3xfkxt2LAhwfd9a71ftVodrwJK5cqVKVasGEOHDqVZs2Y4OjpiY2MDwN9///3JlcoPxZ4kPn6oEBLeHxOKN3Zd/fv3j/fgyofc3NwAMDMzY+jQoQwdOpSHDx/GXX2uVasWly5dAsDJyYn58+cDcOXKFVavXs2QIUN49+4ds2fP/ux2HDt2DEVR4sX36NEjoqOj42JMbGXLlsXNzY1hw4ZRuXJlHB0dPxsfwP379z9JCO7duxcXX+x8nzsWfPgAl42NDSYmJgk+xBr7+rfYsGEDr169Yt26dfH2mQ8fyvxW1tbWn92W75XQ8fpz6/6WfeJLccZ+LtoeAxJSoUIFDAwM2LBhAx07dvz8Bn4Q//379z+Zfu/evbhYkoq1tTXR0dGEh4fHSyQ/bqNMmTKhp6dHixYt6NKlS4LL+tYqP5kzZwb45KHZD33LMSc52djYYG1tzfbt2xN8/cO7XPD5Y3/VqlWxt7cnICCAqlWrEhAQQMmSJeNVE/rW88zH2rRpQ5s2bXj16hUHDhxg8ODBeHt7c+XKlS+eM1IDueKcyBI6EMH/dw+IPfDF7tAfJ54fVpdIbMuWLYv39+HDhwkNDf1i4XJvb28UReHu3bsUL178k38FCxb87nhu3bqFn58fGTJkwMfHB3jfLoqifNIu8+bNIyYmJt60z/1S10XbJgZvb2/Onz+Pi4tLgm394b6jr68f77bpmzdvWLJkSZLEZWRkxIwZM3j79i0jRowA3h949fX1uXbtWoKxxibebm5uZM2a9ZMn0W/dusXhw4e1Wr+bmxu5cuXi7Nmzn13XxycMeH9Fu3Xr1jRp0oTLly/z+vXrT+bJnTs3AwcOpGDBgpw+ffqzMVSsWJGXL19+ctJYvHhx3OtJZeDAgdSqVeuLAyh5eXkBfFKi7sSJE/z3339x8ZUqVQpjY+PPHgs+5O3tzbVr17C2tk6wzb91oKSEvpeKovDXX39903I+VKFCBS5cuMDZs2fjTV++fLlW79f2eJ2Qb90n9uzZE+8HZExMDKtWrcLFxSXux462x4CEZM2aNe4uXWwMH7t27RrBwcFx8V28ePGT/X7x4sWoVCoqVKjw2XX9qNhlf7wffvy5mZqaUqFCBYKCgihUqFCCbZLQnYkvKVOmDBkyZGD27NmfrQ7xvcecxPK5u1Pe3t6Eh4cTExOTYEzaJvOxP0Y2bNjAwYMHOXnyJG3bto03T2KdZ8zMzKhevToDBgzg3bt3cSULUzO54pzIqlatSrZs2ahVqxZ58uRBo9Fw5swZJk6ciLm5Ob///jvw/subKVMmOnbsyODBgzEwMGDZsmWfnAAS08mTJ2nXrh2//PILt2/fZsCAATg4OMTdekpI2bJl6dChA23atOHkyZOUK1cOMzMz7t+/z6FDhyhYsCCdOnX66rrPnz8f1x/r0aNHHDx4kICAAPT09Fi/fn3cVQBLS0vKlSvH+PHjsbGxwdnZmf379zN//nwyZswYb5mxo/jNnTsXCwsLjI2NyZEjB3ny5MHFxYV+/fqhKApWVlZs3rz5s7eJVCpVvH65X/LixQv+/vvvT6Znzpw53p2D7zFs2DB27dpFmTJl6N69O25ubrx9+5abN2+ybds2Zs+eTbZs2ahZsyaTJk2iadOmdOjQgfDwcCZMmJCktY7Lly9PjRo1CAgIoF+/fuTIkYNhw4YxYMAArl+/TrVq1ciUKRMPHz7k+PHjcVd+1Wo1Q4cOxcfHh4YNG9K2bVuePXvG0KFDsbOz06rkF7z/0VO9enWqVq1K69atcXBw4MmTJ/z333+cPn2aNWvWAO/LYHl7e1OoUCEyZcrEf//9x5IlSyhdujSmpqYEBwfTtWtXfvnlF3LlyoWhoSGBgYEEBwfHu8PxsZYtWzJjxgxatWrFzZs3KViwIIcOHWLUqFHUqFGDSpUqJUo7J6R58+ZxZb4+x83NjQ4dOjBt2jTUajXVq1fn5s2bDBo0CEdHR3r06AG8v4Ln5+fHiBEj4h0LhgwZ8sltcl9fX9auXUu5cuXo0aMHhQoVQqPRcOvWLXbu3EmvXr0oWbKk1ttRuXJlDA0NadKkCX369OHt27fMmjWLp0+ffnujfBDjggULqFmzJiNGjCBLliwsW7Ys7u7C12h7vE7It+4TNjY2eHl5MWjQIMzMzJg5cyaXLl2KV5JO22PA50yaNInr16/TunVrduzYQb169ciSJQthYWHs2rWLgIAAVq5cSaFChejRoweLFy+mZs2aDBs2DCcnJ7Zu3crMmTPp1KnTNz0X8a2qVKlCuXLl6NOnD69evaJ48eL8+++/CSZlU6ZM4eeff8bDw4NOnTrh7OxMREQEISEhbN68+ZO+2F9jbm7OxIkTadeuHZUqVaJ9+/ZkyZKFkJAQzp49y/Tp0wHtjzlJoWDBgqxbt45Zs2ZRrFixuLuAjRs3ZtmyZdSoUYPff/+dEiVKYGBgwJ07d9i7dy916tShXr16Wq2jbdu2jB07lqZNm2JiYsKvv/4a7/UfOc+0b98eExMTypYti52dHQ8ePGD06NFkyJCBn3766bvaJEXR0UOJadaqVauUpk2bKrly5VLMzc0VAwMDJXv27EqLFi2Uixcvxpv38OHDSunSpRVTU1Mlc+bMSrt27ZTTp09/Uu7mcyXCPlflwcnJSalZs2bc37FPOu/cuVNp0aKFkjFjRsXExESpUaOGcvXq1XjvTagcnaIoyoIFC5SSJUsqZmZmiomJieLi4qK0bNkyXtm7hMSuO/afoaGhYmtrq5QvX14ZNWpUXPm4D925c0dp0KCBkilTJsXCwkKpVq2acv78+QSf3Pf391dy5Mih6OnpxWu3ixcvKpUrV1YsLCyUTJkyKb/88oty69atT57YjoiIUAClcePGX9wORfn/J/0T+hf7RPHnqmp8+Hl8uLwPn0RWFEV5/Pix0r17dyVHjhyKgYGBYmVlpRQrVkwZMGCA8vLly7j5FixYoLi5uSlGRkZKzpw5ldGjRyvz589XAOXGjRtfXffnfG5fUxRFOXfunKJWq+OVDtuwYYNSoUIFxdLSUjEyMlKcnJyUhg0bKrt374733rlz5yqurq6KoaGhkjt3bmXBggVKnTp1FHd397h5PqwokZCzZ88qjRo1UmxtbRUDAwMla9asipeXlzJ79uy4efr166cUL15cyZQpU1zb9OjRQwkLC1MURVEePnyotG7dWsmTJ49iZmammJubK4UKFVImT54cr2JAQp9NeHi40rFjR8XOzk7R19dXnJyclP79+ytv376NNx8fPU0fS5vKE19rg1gJlaOLiYlRxo4dq+TOnVsxMDBQbGxslObNmyu3b9+ON59Go1FGjx6tODo6KoaGhkqhQoWUzZs3J7jNL1++VAYOHKi4ubkphoaGcWXBevToEa9ChLZVNTZv3qwULlxYMTY2VhwcHJTevXvHVVj4uBxgQse2hI5Psd91Y2NjxcrKSvntt9+UjRs3alVV41uO14mxT8ycOVNxcXFRDAwMlDx58ijLli37JCZtjwGfEx0drSxatEjx8vJSrKysFH19fSVz5sxK9erVleXLl8erBhEaGqo0bdpUsba2VgwMDBQ3Nzdl/Pjx8eb50j758fFU26oaiqIoz549U9q2batkzJhRMTU1VSpXrhxXcvHDZcbG0LZtW8XBwUExMDBQMmfOrJQpUyZeRajYqhUflvf7MP6PS8ht27ZNKV++vGJmZqaYmpoq+fLlU8aOHRtvHm2OOZ/z8XHgW+J78uSJ0rBhQyVjxoyKSqWK912PiopSJkyYEPc9Mjc3V/LkyaP4+PjEO59rc+wvU6aMAijNmjVL8HVtzzMffzcWLVqkVKhQQcmSJYtiaGio2NvbK40aNVKCg4O/GE9qoVIULSpZi1Rt4cKFtGnThhMnTsTruypg27ZteHt7c/bs2R/qdiK+zbNnz8idOzd169Zl7ty5ug5HiCSlUqno0qVL3NVMIUTqJV01RLq2d+9eGjduLElzEnrw4AEjR46kQoUKWFtbExoayuTJk4mIiPjirXAhhBAipZHEWaRr48eP13UIaZ6RkRE3b96kc+fOPHnyBFNTU0qVKsXs2bPjymwJIYQQqYF01RBCCCGEEEILOi1HN3r0aH766ScsLCywtbWlbt26n4zG07p1a1QqVbx/pUqV0lHEQgghhBAivdJp4rx//366dOnC0aNH2bVrF9HR0VSpUoVXr17Fm69atWrcv38/7t+2bdt0FLEQQgghhEivdNrH+ePRbwICArC1teXUqVOUK1cubrqRkdE3D6EqhBBCCCFEYkpRDwc+f/4cACsrq3jT9+3bh62tLRkzZqR8+fKMHDkSW1vbBJcRGRlJZGRk3N8ajYYnT55gbW39zUMPCyGEEEKI1EdRFCIiIrC3t9d6sC1tpJiHAxVFoU6dOjx9+pSDBw/GTV+1ahXm5uY4OTlx48YNBg0aRHR0NKdOnUpwBJshQ4YwdOjQ5AxdCCGEEEKkQLdv3/7iiJvfKsUkzl26dGHr1q0cOnToixt4//59nJycWLlyJfXr1//k9Y+vOD9//pzs2bNz5cqVT65ki8QVFRXF3r17qVChAgYGBroOJ82T9k4+0tbJS9o7+UhbJy9p7+Tz5MkTcufOzbNnz8iQIUOiLTdFdNXo1q0bmzZt4sCBA1/9VWBnZ4eTkxNXr15N8HUjI6MEr0RbWVlhbW2dKPGKhEVFRWFqaoq1tbUcEJKBtHfykbZOXtLeyUfaOnlJeye/xO6mq9PEWVEUunXrxvr169m3bx85cuT46nvCw8O5ffs2dnZ2yRChEEIIIYQQ7+m0HF2XLl1YunQpy5cvx8LCggcPHvDgwQPevHkDwMuXL/Hz8+PIkSPcvHmTffv2UatWLWxsbKhXr54uQxdCCCGEEOmMTq84z5o1CwBPT8940wMCAmjdujV6enqcO3eOxYsX8+zZM+zs7KhQoQKrVq3CwsJCBxELIYQQQoj0SuddNb7ExMSEHTt2JFM0QgghhBBCfJ5Ou2oIIYQQQgiRWkjiLIQQQgghhBYkcRZCCCGEEEILkjgLIYQQQgihBUmchRBCCCGE0IIkzkIIIYQQQmhBEmchhBBCCCG0IImzEEIIIYQQWpDEWQghhBBCCC1I4iyEEEIIIYQWJHEWQgghhBBCC5I4CyGEEEIIoQVJnIUQQgghhNCCJM5CCCGEEEJoQRJnIYQQQgghtCCJsxBCCCGEEFqQxFkIIYQQQggtSOIshBBCCCGEFiRxFkIIIYQQQguSOAshhBBCCKEFSZyFEEIIIYTQgiTOQgghhBBCaEESZyGEEEIIIbQgibMQQgghhBBakMRZCCGEEEIILUjiLIQQQgghhBYkcRZCCCGEEEILkjgLIYQQQgihBUmchRBCCCGE0IIkzkIIIYQQQmhBEmchhBBCCCG0IImzEEIIIYQQWpDEWQghhBBCCC1I4iyEEEIIIYQWJHEWQgghhBBCC5I4CyGEEEIIoQVJnIUQQgghhNCCJM5CCCGEEEJoQRJnIYQQQgghtCCJsxBCCCGEEFqQxFkIIYQQQggtSOIshBBCCCGEFiRxFkIIIYQQQguSOAshhBBCCKEFSZyFEEIIIYTQgiTOQgghhBBCaEESZyGEEEIIIbQgibMQQgghhBBakMRZCCGEEEIILUjiLIQQQgghhBYkcRZCCCGEEEILkjgLIYQQQgihBUmchRBCCCGE0IIkzkIIIYQQQmhBEmchhBBCCCG0IImzEEIIIYQQWpDEWQghhBBCCC1I4iyEEEIIIYQWJHEWQgghhBBCC5I4CyGEEEIIoQVJnIUQQgghhNCCJM5CCCGEEEJoQRJnIYQQQgghtCCJsxBCCCGEEFqQxFkIIYQQQggtSOIshBBCCCGEFiRxFkIIIYQQQguSOAshhBBCCKEFSZyFEEIIIYTQgiTOQgghhBBCaEESZyGEEEIIIbQgibMQQgghhBBakMRZCCGEEEIILUjiLIQQQgghhBYkcRZCCCGEEEILkjgLIYQQQgihBUmchRBCCCGE0IIkzkIIIYQQQmhBEmchhBBCCCG0IImzEEIIIYQQWpDEWQghhBBCCC1I4iyEEEIIIYQWJHEWQgghhBBCC5I4CyGEEEIIoQVJnIUQQgghhNCCJM5CCCGEEEJoQRJnIYQQQgghtCCJsxBCCCGEEFqQxFkIIYQQQggtSOIshBBCCCGEFiRxFkIIIYQQQguSOAshhBBCCKEFSZyFEEIIIYTQgiTOQgghhBBCaEESZyGEEEIIIbQgibMQQgghhBBakMRZCCGEEEIILaSbxFmj0eg6BCGEEEIIkYqli8Q5sxm0bNqIwMBAXYcihBBCCCFSqXSROE+tC256F+nr6yPJsxBCCCGE+C7pInF2tYFxjbLi4RCB/4Qx0m1DCCGEEEJ8s3SROAOo1Spae1hx7+ZlgoKCdB2OEEIIIYRIZdJN4gzgmsUYNO8ICwvTdShCCCGEECKVSVeJc8jDt6A2xMbGRtehCCGEEEKIVCbdJM4ajcLCg0+wd3bD3d1d1+EIIYQQQohURl/XASSHq49h6eoH/HsvA2P9+6FWp5vfC0IIIYQQIpGkiwzy941wOSYfY/1n4+XlpetwhBBCCCFEKpQurjg/fgWLl68mc+bMug5FCCGEEEKkUuniijMg3TOEEEIIIcQPkWxSCCGEEEIILUjiLIQQQgghhBYkcRZCCCGEEEILkjgLIYQQQgihBUmchRBCCCGE0IIkzkIIIYQQQmhBEmchhBBCCCG0kG4S56H9+/PgwQNdhyGEEEIIIVKpdJM4ByxejHP27Pi0aEHI1au6DkcIIYQQQqQy6SZxDh4wgCGVK7Nx40Za1K4Nt26BRqPrsIQQQgghRCqRbhLnDFmy0K9jR25Om8ayBg1g3ToOjxtH5bJl2bNzJ4qi6DpEIYQQQgiRgqWbxDmWsZUVOUuWBHt7Yu7fJzw0lEpVq1KiUCH+XrGCmJgYXYcohBBCCCFSoHSXOMcxMcGjUiVO+fuzo0sXLN++5ZemTZnUuze8eqXr6IQQQgghRAqjr+sAdE1lZESVqlWpUrEiJ44fJ4exMaxZw5Rz53iXMSM+v/+OpaWlrsMUQgghhBA6ptMrzqNHj+ann37CwsICW1tb6taty+XLl+PNoygKQ4YMwd7eHhMTEzw9Pblw4ULiB6Ovz09lymBTuDBER3Pn5EkGDB1KdgcH/vD15eHDh4m/TiGEEEIIkWroNHHev38/Xbp04ejRo+zatYvo6GiqVKnCqw+6SowbN45JkyYxffp0Tpw4QdasWalcuTIRERFJE5SeHmTJwvhevbgxfjztixZl2uzZODk6cv3oUZCHCIUQQggh0iWddtXYvn17vL8DAgKwtbXl1KlTlCtXDkVR8Pf3Z8CAAdSvXx+ARYsWkSVLFpYvX46Pj0/SBadS4eDqyng/P/64d4/1gYHkPHUK5ckTBv3zDw1at8a9WLGkW78QQgghhEhRUtTDgc+fPwfAysoKgBs3bvDgwQOqVKkSN4+RkRHly5fn8OHDyRZXJnt72jZvDlZWPDpxghUrVlC0eHGqeniwd/duKWUnhBBCCJEOpJiHAxVFoWfPnvz8888UKFAAIG6I7CxZssSbN0uWLISGhia4nMjISCIjI+P+fvHiBQAxMTFER0f/WJDGxlgXKsSFyZNZu3Mn4/fswatyZWqUK8eGrVvByOjHlp/KRUVFxftfJC1p7+QjbZ28pL2Tj7R18pL2Tj5J1cYpJnHu2rUrwcHBHDp06JPXVCpVvL8VRflkWqzRo0czdOjQT6afP38ekzt3EidYwCV7dmY3b87pc+d48fo1ZwcN4qaVFQfu3qVcpUoYGBgk2rpSm127duk6hHRF2jv5SFsnL2nv5CNtnbykvZPe69evk2S5KSJx7tatG5s2beLAgQNky5YtbnrWrFmB91ee7ezs4qY/evTok6vQsfr370/Pnj3j/n7x4gWOjo4UKFCATP9bXmIqXro0REfDo0ec37+faWvWsHbdOn7v2pV2XbtiYWGR6OtMqaKioti1axeVK1dO1z8ckou0d/KRtk5e0t7JR9o6eUl7J5/w8PAkWa5OE2dFUejWrRvr169n37595MiRI97rOXLkIGvWrOzatQt3d3cA3r17x/79+xk7dmyCyzQyMsIogS4Tenp66Osn0ebq60P27LRu2pSSBQsyftMmBg4bxujx45k5cSJNOnRImvWmUAYGBnJASEbS3slH2jp5SXsnH2nr5CXtnfSSqn11mjh36dKF5cuXs3HjRiwsLOL6NGfIkAETExNUKhW+vr6MGjWKXLlykStXLkaNGoWpqSlNmzbVZegJ09Mjb5EiLChcmGEhIUzesAGX69dh715ORkZilSsXOV1cdB2lEEIIIYT4DjpNnGfNmgWAp6dnvOkBAQG0bt0agD59+vDmzRs6d+7M06dPKVmyJDt37kzZXSBUKrLlysXE3r3h2TM4dYoB8+ez+8oVfvX2pu+QIRT+3xV0IYQQQgiROui8q8bXqFQqhgwZwpAhQ5I+oKSQMSNkzMj6vn1ZsGkTE/fvp0jRolQrV455ixfj4OSk6whFItNoNAQFBREWFoaNjQ3u7u6o1Smq8qMQQgghvkOKeDgwPTC1tqZrmzZ0/OUXVv/zDwHHjmF96BC8eUPQ8+cU/uknSa7SgMDAQPwnjOHezcugeQdqQ+yd3fD164eXl5euwxNCCCHED5BMLZnpm5vT9Jdf2DVqFMbPnvFo5UpKli1LfldXFs6Zw7t373QdovhOgYGB9PX1wVUJJqCFOQd62xHQwhxXJZi+vj4EBgbqOkQhhBBC/ABJnHXF0BCyZ8e2cGH29+yJm6kpbTp2xCV7dqaOG6fr6MQ30mg0+E8Yg4dDBBOaOFDQ0QRTIzUFHU2Y0MQBD4cI/CeMQaPR6DpUIYQQQnwnSZx1TV+f0h4ebBgxggtDhlApWzZOrF8Phw8T/fAhjx8/1nWEQgtBQUHcu3mZNuWsUavjD86jVqto7WHFvZuXCQoK0lGEQgghhPhRkjinFHp65CtalIBBg1jcvj38+y+r+vfHydGRbr/9xs0bN3QdofiCsLAw0LzDxTbhYdddsxiD5t37+YQQQgiRKkninNKo1agyZ4Y8eahWvDj9ypdnxapVuLq60qxePS6cO6frCEUCbGxsQG3ItUeRCb4e8vAtqA3fzyeEEEKIVEkS5xTM2tGRP7t2JXTqVCbXrs2h/fs59tdfcP06byIitCrnJ5KHu7s79s5uBBwIR6OJ/7loNAoLDz7B3tktbgRMIYQQQqQ+kjinAmaZM9OtbVtCpk2jhZMTbNyIj7c3ZYsWZdPatYn+wJlGo+HUqVPs2LGDU6dOyQNtWlCr1fj69ePgXQv8Vtwl+NZrXkdqCL71Gr8Vdzl41xJfv35SclAIIYRIxaSOcypiYGkJlpYQGUmT/PkZtX07dRo2JJ+LC3369qVJq1YYGhr+0DqkDvH38/LyYqz/HPwnjKHt0sugefq/9ivEWH9pPyGEECK1k8Q5NTIyonr16lSvVIl/jxxh7NattOvUifJZs+JcvjyKhQUqlerry/lIbB1iD4cIRrawxsXWiGuPIgk48L4O8Vj/OZL8fYWXlxeenp4ycqAQQgiRBkninJoZGFC2XDk2lS3LvatXsb90iXf37lFi4kTq1K1Ltz59tH4Y7eM6xLEl1WLrEPutuIv/hDF4enpKEvgVarWaYsWK6ToMIYQQQiQyyYDSAj097PPkgdy5eRMdTXlbWyZMmUL2bNno3q4doTdvfnURUodYCCGEEOLLJHFOS9RqMmTPzpQ+fQidNIk+5cqxbOVK6laqBHfuwBce8pM6xEIIIYQQX5ZuEudmM2Zw4dYtXYeRPFQqbLJnZ0i3boROncryBg1g3TrOTJ9OrYoVObR//ydvkTrEiUsqkwghhBBpT7pJnLcHB1Ooe3faTJnCrXQ0jLV55szk/flnyJKF51eucP3CBTw8Pfm5WDG2rF8fl9BJHeLEExgYSF3vavi0qM+A31vj06I+db2rERgYqOvQhBBCCPED0k3i7O3ujkajYeGePeTu2JFe8+cT/uKFrsNKPqamlK9alXNTp7KxQwc04eHUql+fsT17wps3Uoc4kcRWJnFVggloYc6B3nYEtDDHVXlfmUSSZyGEECL1SjdVNRZ17MjVFy/ot3gx+86dY9LGjczbtYs+9evjW7s2ZsbGug4xWahNTKjt7U2tKlU4dPgwLiYmsHo180JCeG1hwZDR/syZMUXqEH8HqUwihBBCpG3pJnEGKOnmRuCIEewMCqLfokWcuXGDgUuXMn3rVv789VfaVamCgX76aBKVoSEenp4QEwOPH3Nx3z6mHj5MRgsLuvj48HuvvkRHR0sd4m8QW5lkZIvPVyZpu/R9ZRIpVyeEEEKkPukuG1KpVFQtWpRTkyezvFcvcmbNyoOnT+k8ezb5unRh1cGD6etBLj09yJqVSX5+hIweTZP8+Rk/eTK1vb3JYWFBsWLFJGnWklQmEUIIIdK2dJsRqdVqmpQvz38zZjCtQwdsM2Qg5P59Go8fz0+9erErvdUrVqtxzpuXaX37EjppEqOrViVXUBDs2sXYP/7g4vnzuo4wxZPKJEIIIUTalm4T51iGBgZ09fYmZM4chjZtirmJCaevXaPK4MFUGjSIk1ev6jrE5KVSkdnJie6//YYqUybCjx5l2syZ5C9YkDqVK3Pk0CFdR5hiSWUSIYQQIm1L94lzLAtTU/5s3Jjrc+fye61aGOjrs+fsWX7q1YtGY8dy9d49XYeY/CwssC5ShOszZhDQpAlXgoMp4+FBLS8vlHfvdB1diiOVSYQQQoi0Tc7gH8mcIQP+7dtzeeZMWlSogEqlYs2//5K3c2c6zZzJ/SdPdB1isjO0tKR1kyZcmDaN9e3a4W1lhWrtWp4ePsyygACio6N1HWKK4eXlxVj/OYSoCtF26SvKjb9P26WvCFEVYqz/bKlMIoQQQqRi6aOExHfIkTUri3v0wK9uXf5YsoStJ08ye/t2FgUG0qNOHfrUr08GMzNdh5ms1CYm1K1dG6Ki4OFDtm3eTPMVKxgwYAB+PXvSon17XYeYInh5eeHp6UlQUBBhYWFSmUQIIYRII+RM/hWFcuRgy59/sn/UKErnycObd+8YtWYNOTt0YOL69bxNj10WDAwgWzaaNWrEmUGDKJslC7/36YOrszP/7typ6+hSBLVaTbFixahatapUJhFCCCHSCDmba6lcgQL8O3YsG/74g3yOjjyJiMAvIIDcHTsSsHs3MTExug4x+enpUfinn1g2ZAgho0fzS5485L57F9WhQ5zfv587d+7oOkIhhBBCiEQjifM3UKlU1ClViuCpU1nQvTvZbGy4HRZG26lTKdS9OxuPHkVRlK8vKK1Rq8mRLx9Te/fG3ckJjh+nb5cu5MyRgza//sp/Fy/qOkIhhBBCiB8mifN30NPTo02lSlyZNYvxbdqQydyci7dvU3fUKH7u25eDFy7oOkTdUKmIMjeH3LlZ6evL6OrV2bljB/ny56dulSrcCQ3VdYRCCCGEEN9NEucfYGJkhF+9elyfO5f+DRtiYmjI4UuXKNe/P97DhnHu5k1dh6gzFlmy0Kt9e65Pn868X3/l4ZUrZDh0CK5e5dK5c+nzyrwQQgghUjVJnBNBRnNzRrVsScicOfhUq4aeWs3Wkycp/PvvtJw8mZsPH+o6RJ0xypCB35o148iECVg8ecKTlSspWrw47nnzsmLRou8qZafRaDh16hQ7duzg1KlT6WuIdCGEEELojCTOicje2prZnTtzccYMfilbFkVRWLJ3L26dOuH71188fv5c1yHqjpERODuTKV8+tnbqRFagaevW5HZ2Zpa/v9ZXoAMDA6nrXQ2fFvUZ8HtrfFrUp653NQIDA5M2fiGEEEKke5I4J4HcDg6s7tuXExMnUrFwYd5FRzNl82ZcOnRg2MqVvHzzRtch6ozK0JAKFSuyfcwYTg8YQAkbG3YsWoTq+HE04eE8ffr0s+8NDAykr68PrkowAS3MOdDbjoAW5rgqwfT19ZHkWQghhBBJShLnJFQ8Vy52Dx/OzqFDKeriQsSbNwxevhyXDh2YvmUL76KidB2i7ujp4V6yJCuHDmVtly6wfz+bBg0iu4MDvbt04d5HQ5xrNBr8J4zBwyGCCU0cKOhogqmRmoKOJkxo4oCHQwT+E8ZItw0hhBBCJBlJnJNBZXd3TkycyMrevXHJmpVHz5/Tbe5c8nbpwvL9+9N3sqdWo5clC+TJQ+k8eeheujR/BQTg7OREuyZNuHL5MgBBQUHcu3mZNuWsUatVHy1CRWsPK+7dvExQUJAutkIIIYQQ6YAkzslErVbzq4cH/82cycyOHcmSMSPXHzyg2cSJFOvRg+2nTqXvShMqFVly5GCkry+3pkxhZLVqbNu2jR2TJ0NoKA/u3QPNO1xsjRJ8u2sWY9C8IywsLJkDF0IIIUR6IYlzMjPQ16dTjRpcmzuXEc2bY2lqypkbN6g+dCheAwdy7H9XWNMzy6xZ6d2hAzemT6eDqyusX0/AqFE8fPyEM9fCSOjnRcjDt6A2xMbGJtnjFUIIIUT6IImzjpgZGzOgUSOuzZ1Lzzp1MNTXZ9+5c5Tq3ZsGo0dzSYarxihjRozc3MDBgWb58xP5TsW0f25z4dx5noSHx12h12gUFh58gr2zG+7u7jqOWgghhBBplSTOOmZjacnE337jyuzZtPLyQqVSse7IEfJ37Ur76dO5Gx6u6xB1z9iYenXqsKJXP4IfZGDCnmh2HL/J08dPCb75Cr8Vdzl41xJfv36o1bJLCyGEECJpSJaRQjjZ2rLQ15fgqVOpVaIEGo2GeTt34urjQ9+FC3n68qWuQ9S5isWKMa2LH08owNj9GagyKYy2cx+x/OgrChcuSdGiRXUdohBCCCHSMH1dByDiK+DkxKaBAzl08SL9Fi3i3//+Y9y6dczdsYP+DRvSzdsbE6OEH5BLD7wKF8azYEGCrl8n7PlzjN+8Yfm+fSxauZLV69bRsU0bfP/4A3t7e12HmqpoNBqCgoIICwvDxsYGd3d3uXovhBBCfEQS5xTq53z5ODhmDFtPnqT/4sWcDw2l76JFTN2yhSFNmtC6YkX09fR0HaZOqNVqirm6xv1dvmxZht64gf+GDcyaP5+tW7Zw/t9/Udnbg0r1hSUJeD+wjP+EMdy7eRk070BtiL2zG75+/fDy8tJ1eEIIIUSKIZeUUjCVSoX3Tz9xxt+fRb6+ONnacjc8nPbTp1OwWzfWHT6cvkvYxVKpyJozJ2N69uTWlCksrV8f1fr1XJ43j19q1uTk8eO6jjDFktEYhRBCCO1J4pwK6Onp0dLLi8uzZjH5t9+wtrDg0p07NBgzhtK9e7Pv3Dldh5hiZLCzw71CBbCx4cHZs5w5fpyfSpakUtmy7N6+XX5ofEBGYxRCCCG+jSTOqYiRgQG+depwbe5cBjZqhKmREceuXKHCgAFUHzKEM9ev6zrElMPMjPJVq3Jp+nRWt27N01u3qFy9OiN+/x3evtV1dCmCjMYohBBCfJt0kzjfSUNl3TKYmTG8eXOuzZ1L5xo10NfTY/vp07j7+tJs4kSuP3ig6xBTDD1TU36pX5+Tkyezq1s3mpubw99/s2LMGOZMncrbdJxEh4WFyWiMQgghxDdIN4lzqT//ZOyyZbyLitJ1KIkma6ZMzOjYkf9mzKCxhwcAy/fvJ0/nznSbM4dHz57pNsAURGVkRKXKlcnx00/w6hXHtm6lk68vzg4OjB06lOfPn+s6xGRnY2MDakOuPYpM8HUZjVEIIYSIL90kzi1r1GDAmjUU7tSJfadP6zqcROVqb8+K3r05NXkyVdzdiYqOZvrWreTs0IHBy5fz4vVrXYeYcujrg709/n5+XBo+nNqurvw5YgTZHRy4eOiQrqNLVu7u7tg7uxFwIByNJn7fbxmNUQghhPhUukmcRy5YwOnt27Gxtubs6dNw/z6ksYeeirq4sGPoUPYMH85PuXLx6u1bhq1ciUuHDkzZtInINHS1/Yep1eQuVIi5AwZwc/x4+pcrR56zZ2HPHmaMGkXI1au6jjDJqdVqfP36cfCuBX4r7hJ86zWvIzUE33otozEKIYQQCUhXZ8RClStz4MwZug4bBoaG9J8yhUkrVxIVHa3r0BKVV+HCHJswgb/79SO3gwNhL17gO28eeTp1YsnevcTExOg6xJRDpcLOxYV+nTqhzpCB50eOMGLsWNzy5KGRtzenTpzQdYRJysvLi7H+cwhRFaLt0leUG3+ftktfEaIqxFj/2VLHWQghhPhAukqcAVSGhugVLoxSrx6vrazovWIFRbt04cCZM7oOLVGpVCoalCnDhenTmdO5M3ZWVtx89IiWkydTtEcPtp08KaXZPpYhAxkKF+bG1KnMqF+fU0ePUrxECepWrozy7p2uo0syXl5ebNiynTlL1jFyykLmLFnHhi3bJWkWQgghPpLuEudYqgwZmLJmDSe2bMHcwoLyf/5Jy1GjiEljV5/19fToUK0aIXPmMLplSzKYmRF88yY1hw3D848/OHLpkq5DTHGMrazo2LIll6dPZ2WrVpQzNUW1YQMvT55k7cqVafKKvVqtplixYlStWpVixYpJ9wwhhBAiAen77KhSUbRGDf4NDmb+kCHYWlqiFxKC5vlzotNYcmRqZES/hg25PncuvevVw8jAgAMXLlCmTx/qjRrFf7dv6zrEFEffzIxfGzSgZ8uW8PgxW/z9adikCXlz5uSv6dOJjEy4GoUQQggh0qb0nTj/j9rIiLaDBzNh9WooXpwFW7dSvEsXDqfBEfmsLCwY16YNIXPm8FvlyqjVajYcPUqBbt34bepUbj9+rOsQUx5DQ8iencYNGnCsb18KWFri0707ObJlY1VAgK6jE0IIIUQykcT5QxkygKcnRZo1w8DEhLIDBtB27FgePX2q68gSXTYbG+Z168b5adOoV6oUGo2GBbt3k6tjR3oHBPAkIkLXIaY8+vqUKFuWdcOHc3HoUKo7O2Nx5gz8+y9Xjx3j4cOHuo5QCCGEEElIEuePqVQU9/bm6LlzzB4wgA1BQbh17MjFNNoXOK+jI+v++IMj48ZRvkABIqOimLB+PTk7dGD0mjW8lu4In9LTI0+RIswfNIga7u5w+DB9fHxwcnSkU6tWXAsJ0XWEQgghhEgCkjh/hp6JCT4jRnD5zBl6NGqEm4EB3LhB6N27ug4tSZTKk4e9I0eybfBgCjk78/zVK/5YsgRXHx/mbN+e5kr2JQqVCqytIU8eFnTqxKCKFVm7bh253dxoXLs2t0NDdR2hEEIIIRKRJM5fkTlXLv4MCECvbl1Ov3lDzs6d6TBhAuFpcIhmlUpF9WLFCPL3Z2nPnjjb2nL/yRM6zpxJ/q5dWXPokJSw+4xM9vYM6NyZ0OnTmVavHhdPnsTs0CG4do3Qa9ek3YQQQog0QBJnbahU4OxM4W7dmNK7N6tPnCC3jw9/bdqEJo2NPgjvS5M18/Tk0qxZTGnfnswZMnD13j0ajRtHiV692HP2rK5DTLFMrKzo3KoVZydPxio8nBerV1OoYEFKFSnC+tWr0+T+IoQQQqQXkjh/Az1TU7qOHcvl06fxLlOGDvPmMXbePEij3RiMDAzoXqsW1+bMYXDjxpibmHAyJIRKgwZR5c8/OX3tmq5DTLFUpqaQIwcWuXKxsnVrTF6+pP6vv5LPxYUFs2bJFWghhBAiFZLE+TtkyZOHRTt3cmDlSnzq1YOQEPYfOsTTNFqJwsLUlCFNm3Jtzhy6eXtjoK/PrjNnKNajB43Hjyfk3j1dh5hiqYyMqF69OvsmTOBInz7kNTNj2bRpqE6fRnn+nJcvX+o6RCGEEEJoSRLn76VS4fHrr1g1bUpUuXK0mDeP3B06ELB1a5q9HW+bMSNTO3Tg0syZNCtfHpVKxaqDB8nbpQudZ83iQRos25do9PUp9fPPrB8xgn+6d4fAQHYPHYqjnR0De/Xi0aNHuo5QCCGEEF8hifOPMjbGoGRJju7fT5USJWg7Zw4ePXpw9upVXUeWZHJmzcrSXr0I8venerFiRMfEMOuff3Dr3Jk5+/bx/NUrXYeYcunpYejgAG5u5HN0pI27O/4zZuDk6EiXNm24Lt1fhBBCiBRLEudEYl+gAMt272bv0qU8i4qi+/TpEBam67CSVOEcOdg2eDD7Ro2iZO7cvI6MZOHhw7h17szkjRt5++6drkNMuVQqHFxdmdS7N7cmT2aAlxer//6b1SNHwq1baNJov3khhBAiNZPEOTGp1Xg2a8aZixdZOXMmREfz7/btLN2xI00/DFa+QAGOjB/Pmj59cLK2Jjwigp7z5+PWqROL9uwhJiZG1yGmaFbZsjGwc2dCp02jW+7csGEDfX75hRqenhzYuzdN7ztCCCFEaiKJcxIwsLDArlo1qFePreHhtJgxA89evTh//bquQ0syKpWKuqVKsbR9e+Z07oyDtTW3Hj+m9ZQpFPH1ZfPx45IAfoWptTVm+fNDliyUypiR25cvU97LizLu7mxYsybN9p0XSU+j0XDq1Cl27NjBqVOnZF8SQojvJIlzUrKxYdTy5exauJCHr15RpGdP/GbM4OWbN7qOLMnoq9W0rVSJq7NnM651azKZm3M+NJTaI0bg0a8f/168qOsQUz5TUxrWr0/w1Kls7dQJgxcvqNeoEefWrYPXr3UdnUhlAgMDqetdDZ8W9Rnwe2t8WtSnrnc1AgMDdR2aEEKkOpI4JzW1mkqtWnH24kWG+/iw4fRpNFeupPkEyMTIiN7163N97lz6NWiAiaEh//73Hz/360ftESM4L8NRf5XK2Jga1atzYOJEzg0cSOEbN1BWr6ZG2bJMHj1aStmJrwoMDKSvrw+uSjABLcw50NuOgBbmuCrB9PX1keRZCCG+kSTOycQoY0b6z5zJhdOnuWppybJNmyjXowcX0nD3DYCM5uaMbtWKkDlz6FC1KnpqNZuPH6dQ9+609vcnVMqwfZ2+PgVKlIBcuXgZEYFtZCR9Bg3CxcmJlQEBPH78ONlCkVv+qYdGo8F/whg8HCKY0MSBgo4mmBqpKehowoQmDng4ROA/YYx8hkII8Q0kcU5GgYGB/NKhLT6zJzDu322EPL7BT36+NBkxgldv3+o6vCRlb23NnC5duDB9Og3LlEFRFBYFBpK7Y0d6zp9P2IsXug4x5dPTw8LZmYWDBnFtzBhaFCrEhq1b8SxRAuX+fUjiPuRyyz91CQoK4t7Ny7QpZ41arYr3mlqtorWHFfduXiYoKEhHEQohROojiXMyiX/L1IIjg3Lwj58rzUuYsP3ccXK0acP+U6d0HWaSc8uWjTX9+nF84kQqFCzIu+hoJm/cSM727RmxalWa/wGRKNRqsru5MbFXL7a0acP82rVRrVtH6JIltKhfn+AzZxJ9lXLLP/UJCwsDzTtcbI0SfN01izFo3r2fTwghhFYkcU4Gn7tlWjiHBbN98tKijDXGxvpYv34Nd+4QnQ7qH/+UKxd7Roxg+5AhFMmRg4g3bxi0bBkuHTowc9s2oqSOsVbMMmemdOXKkCkTN48d48C+fRR2d6dmhQoc3LcvUSqZyC3/1MnGxgbUhlx7FJng6yEP34La8P18QgghtCKJczL42i3Tdl622NpaElmyJJHGxhTt2pWBf/3F68iET3hphUqlomrRopyaPJnlvXqRM2tWHj57RpfZs8nbuTMrDxyQZExbFhaUr1aNkGnTWNy0KaGXLlGuQgWGde8OP/hDTG75p07u7u7YO7sRcCAcjSb+DyiNRmHhwSfYO7vh7u6uowiFECL1kcQ5GWh3yzSKMHNzlNq1qVutGuP/+Yd8HTqw8eDBNF//WK1W06R8ef6bMYPpPj7YZsjAtQcPaDJhAj/16sWuZEjINBoNp0JC2HH6NKdCQlJtwm5gaUmLxo0JnjKFzT4+/GpqCmvXsmnaNBb99RdRUVHfvEy55Z86qdVqfP36cfCuBX4r7hJ86zWvIzUE33qN34q7HLxria9fP9RqOQ0IIYS25IiZDL7llqmxtTXDAgK4cOAAeXPkoO748XQcPx7Sweh7hgYGdKlZk2tz5zKsaVMsTEw4fe0aVQYPptKgQZy4ejVJ1ht49ix1RwzBZ+poBgRMwWfqaOqOGELg2bNJsr7koDYxwbtmTfKULAnPnxO4ejWtO3TAxdGRKWPH8urVK62XJbf8Uy8vLy/G+s8hRFWItktfUW78fdoufUWIqhBj/Wfj5eWl6xCFECJVkcQ5GXzPLVPX0qXZduwY66ZOpU7JknDlCmG3bvE2HfR/NjcxYVDjxlybOxff2rUx1Ndnz9mzlOjVi1/GjOHK3buJtq7As2fpGzATV4ubBDQx5kD3TAQ0McbV4iZ9A2am6uQZAAMDcHDAv1cvzg0ejKeDA73++IPs9vYEHzyo1SLkln/q5uXlxYYt25mzZB0jpyxkzpJ1bNiyXZJmIYT4DpI4J5EP690GBQXRvWefb75lqtLXp163btQYOhTKlqXT/Pnk9/Fh25EjOtqq5JU5QwYmt2vH5VmzaFmhAiqVir8PHyZfly74zJjBvfDwH1q+RqPBf+NaPJzeMKGuNQXtjTA1VFPQ3ogJda3xcHqD/8a1qbbbRjx6ehQoVozFf/7JtTFj6FS8OHnPnYP9+1k4ZQqhN29+9q1yyz/1U6vVFCtWjKpVq1KsWDH5rIQQ4jvJ0TMJJFTvduqkcTRu1fH7bpmamUHZsoyYMoWc2bJRc/Ro6g4axM3795Nvo3TIOUsWFvXowdkpU/D+6SdiNBrm7tiBq48P/Rct4tl3jqAXdP0698Lu0qaURcIPvZW04F7YXYLS0iA1ajVOefIw4vffMTA35+WhQ/QZOBAXFxdaNmzI+eDgBN8mt/yFEEII0Nd1AGlNbL1bD4cIRrawxsXWiGuPIgk4EMzKRTcYPWkWmTJlIiwsDBsbG9zd3bW++uPm4cHOEydYM20aPYYPx93Xl1v+/ljY2SXxVqUMBZ2d2TxoEAcvXKDvokUcuXSJMWvXMmfHDvo3bEjXmjUxMUr4AbaEhL14AUo0LjYGCb7umtkAlJdpc3AWlQoyZcI8UyauT5nCvE2bmLRnD0vWrqV+1ar8vWULKv34hwcvLy88PT0JCgr6rv1XCCGESO3kjJeItKl3O3XSONzd3b/7lqnKwIBGPXty6eJFVg4fjkV0NG8uXmTPyZNJtFUpj0f+/Pw7diwb/viDfI6OPH35kj4LF5K7Uyfm79xJtJYPUtpYWoJKn2thCVeaCHkcBSr99/OlYeaZM+P7229cmz6dRU2bUlilQrVxI2+Dg9m6YUO8ripyy18IIUR6Jme9RJSc9W4t7Oyo2qsX1K3L8jt3qDRsGA0HD+b2w4c/vOzUQKVSUadUKYKnTmVB9+442thwJyyMdtOnU6h7d9YfOfLVMn7uOXNib+NAwNGIhB96OxaBvY0D7jlzJuWmpBgGlpa0bNyYP3/7De7fZ8vEiXjXq0dhNzeWLljwXaXshBBCiLREEudEpJN6t/b2tJ00iWVjx/Lv9evk6dyZscuW8S6dJDl6enq0qVSJK7NnM6FNG6wsLPjv9m3qjx5NmT592Bsc/Nn6zGq1Gt86DTgYaoLfhnCC70by+p2G4LuR+G0I52CoCb51GqS/q6pGRuDkRIPatTnQsyfZ9fVp8dtvuGbPzprFi3UdnRBCCKEz0sc5EX1Y77ago8knrydVvVuVgQFN+/TBu1kzBvfowYA1ayiaKROVK1UCQ8NEXVdKZWxoSK969fitcmXGr1/P5I0bOXr5MtWHDCSLhSGZzIzQ1zfG3sYB3zoN8CpcGACvwoUZ26Yz/hvX0nblXVBegkofextnxrb5//nSI5WhIR6ennh4eBAcFMS4zZtRHT0KuXMTamKCebZsWFtb6zpMIYQQItlI4pyI/r/ebTATmjjE667x//VuCyVZvVtLBwcmr15N98OHyfHoEUpICOOPHKG5tzf26WRwiozm5oxs0YIiOXLgN286ZbO/pnb+d2TL8I6I6Gj+uXydvgEzGdumc7zk2bNgQYKuXyfsxQtsLC1xz5kzXVxp1mg0X99uPT0KFS/O0qJFITwcDh6k7+rVbDl/nvYtW9Jz4EAcHR11swFCCCFEMpLEORHF1rvt6+uD34q7tPawwjWLMSEP37Lw4BMO3rVkrH/S17vNUaYMREVxd/9+Jg4fzvAtWxjasCHdGjbEQD/tf+QajYYlgTtpUNiQETWtuf/0KU9fvsTY4A0tirzh9dtIxq1dhWfBgnGfhVqtppirq44jT16BZ8/iv3Et98LughL9vyvt8a/Ix6NWQ+bMYGPDtFatyL1xI9OXLmX6/Pk0rVePkRMnki179iSJVaPRSDUPIYQQOidnnkSWYurdGhiQrVIlLp87R+uaNem9YgVFu3Th4JkzybN+HfqwPrOpkREuWbOS1zEblqYmqICKLpEEhVyg06xZRLx+retwdeKHRkxUqcjs5MSw7t25NXUq42rW5PC+fejt2wc3bvAgEUd2hITrotf1rkZgYGCirkcIIYT4Gkmck0BKGuI2Y/bsTFu7lhNbtmBuYcGBw4fhwQP4SsWJ1Cyh+sxmRsbktncgt709ubMYoq9WmLtjBy4+PkzbsiXdPEwJiTtiormtLT3atePKtGnYPXnC6zVrKJgvH+V++oltmzZ9tbLJ18TWRXdVggloYc6B3nYEtDDHVQmmr6+PJM9CCCGSlSTOSSRF1btVqShaowb/BgfTZ8QI0NNj5MyZTPv7b61rHqcmX6rPbGlqir6RLRnMLMhmY8Pj58/pPncueTp3Ztm+fWljeO2vSIoRE1VmZuDigrGzM/MaNSLq8WNq1qlDYTc3lgUEfFe7alMX3X/CmHTxmQkhhEgZJHFOR9RGRhgUK4ZSvz4PTU35fckSinfpwuFz53QdWqL6Wn3mRcde4urgQsjs2czq1Ak7KytuPHxI80mTKNqjB/+cOvXDV0pTMu1GTIz+rhET1SYm1Kldm8MTJ7K/Rw+y6ekxdcQIVGfOwMuXvH37VutlJWdddCGEEEIbkjinQ6qMGZm6di3HNm7EwMSEsgMG0HbsWKKjo3UdWqLQtj6zkaEhHatX5+rs2Yxs3hxLU1PO3rhBjaFDqTBgAEcvXdL1piSJ5BgxUWVoSLkKFdg2ejR7e/RAtXs3/44ciaOdHSMGDODp06dfXYZO6qILIYQQXyCJc3qlUvFTrVocPXeOWX/8gaG+PvohISgREcSkge4bsfWZQyKcabvyLeWmPqXtyreERDjHK0UHYGZszB+NGnF97lx61a2LkYEB+8+fp3SfPtQfNYpLd+7ocEsSX7KOmKinh6mTE7i54WhlRaO8eRk5fjzZHRzo1akTd77Qth/WRU9IUtVFF0IIIT4n7dcmE1+kZ2JCx5Ej4elTOH2alYsXM3HvXmZ26UKJfPl0Hd4P+db6zNaWlkxo25butWoxZPlyFu3dy/qjR9l4/DhtKlZkSJMmZEsDSVrsFfm+ATPx2xBO65IWuGY2IORxFAuPRXAw1ISxbRJ5xES1mux58jCjXz8G37rF1A0bmLFoEaYvXjB83DgUOztUH61P13XRhRBCiI/JFWfxXqZM4OVFzrp1idHTo1T//nSYMIHw5891HdkPia3PXLVoUYq5umqVDGbPnJkFv/9O8NSp1ClZEo1Gw/xdu8jVsSN9AgJ4EhGRDJEnrW+5Ip+oVCpsnZwY8fvv3Jo6Fb98+WDdOoY0b069qlU5+u+/cbPG1kU/eNcCvxV3Cb71mteRGoJvvcZvxV0O3rXE1y/p66ILIYQQseSKs/h/KhUl69XjRJUqzB42jIHTprHu5En2/vknBVP51efvkT97djYMGMDh//6j36JFHLx4kfHr1/PXzp30a9iQbt7emBol3P82NdD1iIkWWbJAlizw+jV59fVZdeYMpX/+mfIlStBv0CCq1qwZVxfdf8IY2i69DJqnoDbE3rkQY/376aTEoxBCiPRLEmfxCX0zM7qOHcsvbdowZehQ8hgYwI0b3Dczw87WVtfhJbsyefOyf/Rotp08Sf/FizkXGkq/RYuYunkzQ5o0oU2lSujr6ek6zO+SIkZMNDWl8S+/0Mjbm407dzJm1y6q16rF8ZUr+alOHby8vPD09JSRA4UQQuicnHnEZ2XJk4dRy5djUK8eF6KicPbxocvkyTxNA10VvpVKpaLmTz8R5O/P4h49cLK15d6TJ3SYMYP8Xbuy9vDhNF3CLjmoTUyoV6cORydN4nifPvx05w7KmjU0rlqVOVOnki9fvpRRF10IIUS6JWcf8WUqFeTIgVvHjoz19WXJkSO4dejAwm3b0uXAE3p6erSoUIHLs2bh364dNpaWXLl7l4ZjxlCqd2/2BgfrOsRUT2VoyE8//wwuLrx5/hzVw4d07dkTZwcHRg0axLNnz3QdohBCiHRKEmehFX0zM3wnTODyyZNULlGCNrNnM/KvvyCN1H7+VkYGBvxeuzbX5s5l0K+/YmZszPErV/AaOJBqgwcTdO2arkNMcTQaDadCQthx+jSnQkK+/sPrf6XsVgwdypVRo6jv5sawMWMomi8fmocPkydoIYQQ4gPSx1l8E7v8+Vm2ezftli8n76tXEBLC0efPyVugAGap+EG572VpasqwZs3oUqMGI1avZs6OHewICmJHUBBNypVjeLNmuNjZ6TpMnQs8exb/jWu5F3YXlGhQ6WNv44BvnQZfr+ChVuOSPz+z8uVjyM2bXLh4EfW6dTywtmbQhg30GjSIPHnzJs+GCCGESNfkirP4dmo1FZo3J2urVsSUK0fTOXNwa9+eZTt3ptt+vlkyZWKajw+XZs6kafnyAKw4cIA8nTvTdfZsHmoxUl5aFXj2LH0DZuJqcZOAJsYc6J6JgCbGuFrcpG/ATALPntVuQSoVWXLkwKtmTbC05Mq+fWzdupV8+fPToHp1jh85krQbIoQQIt2TxFl8P2Nj9EqW5MCePZQvWpTWs2fTLSCA8zdu6DoyncmZNSvLevXi9OTJVClShOiYGGZs24Zz+/YMWrqUF69f6zrEZKXRaPDfuBYPpzdMqGtNQXsjTA3VFLQ3YkJdazyc3uC/ce2395e3tKRc9ercmD6duY0ace7UKUqWKcPgrl0hKuGhxIUQQogfJYmz+GHZChVi1d69/DNvHo8jI2k/eTJKWJiuw9Kppy9fYqQP+R0y4Gylh4XBO8avW41j27b4b9xIZDpJ7oKuX+de2F3alLKIN/IfgFqtonVJC+6F3SXo+vXvWr5Rxoy0a9aM/6ZN4+82bahvbAzr1rFr3jxWLVlCdDrtgy+EECJpSOIsEodaTcWWLZk8bRorp0xB9e4dpwMDWbV7d7rrvvFh14QVLS05PyA769tZ80thNSrNa3rMn49bp04sDgwkJiZG1+EmqbAXL0CJxsXGIMHXXTMbgBL9fr4foGdqSoN69ShcpgyEh7Nl0SIat2yJW44czJ4yhbdv3/7Q8oUQQgiQxFkkMj1zc7LXqgX167P+wQMaT51K5T59uBQaquvQkkVCXRPMDPUo65qJhS2daVzUBEsTfUIfPaKVvz9FfH3ZcuJEmv1xYWNpCSp9roUlfIU95HEUqPTfz5cYDAzA0ZEpPXtysn9/iltZ0aVHD5wdHDhz8GDirEMIIUS6JYmzSBqZMzN82TK2/fUXN589o5CvL/1mz+ZVGr/y96WuCXpqNZ3L2eBqm5Gu3t5kNDPjfGgotYYPp1z//hz+7z8dRZ103HPmxN7GgYCjEWg08X8caDQKC49FYG/jgHvOnIm7Yn19ipUuzaphw7g8ciRN8+Ujz7lzcPAga+bP5/79+4m7Ph3QaDScOnWKHTt2cOrUqXRZV10IIZKbJM4i6ajVVG/XjvMXLzLot99Yevgwb/77D9680XVkSUabrgkqYvAuXpzrf/1Fn/r1MTY05NDFi5Tt25c6I0Zw4datZI466ajVanzrNOBgqAl+G8IJvhvJ63cagu9G4rchnIOhJvjWaZB0IwGq1bgWKMCk3r0xNjXl9YEDdPb1xdnJiQ7Nm3P1ypWkWW8SCwwMpK53NXxa1GfA763xaVGfut7VCAwM1HVoQgiRpkniLJKcsZUVg+bMIeTMGWyKFePx5cs0GjKEq7dv6zq0RPctXRMymZsztnVrrs6eTbsqVVCr1Ww6fpxC3bvTdsoUbj9+nMzRJw2vwoUZ26YzIRHOtF35lnJTn9J25VtCIpwZ26bz1+s4JwaVCqytMS1UiJCJExlWuTKbN2/GLU8efvX2JiYVPawZGBhIX18fXJVgAlqYc6C3HQEtzHFVgunr6yPJsxBCJCFJnEWyMXZygmrVuJ0/Pydu3aJA9+4MmjeP15GRug4t0XxP14RsNjb81bUrF6ZPp37p0mg0GgL27CFXx474LVhA+A8+OJcSeBUuzIaBQ5jTvT8j2/zOnO792TBwSPIkzR/JYGdH344duTF1KrMbNiT769fobd1K9KVLBKbwWuQajQb/CWPwcIhgQhMHCjqaYGqkpqCjCROaOODhEIH/hDHSbUMIIZKIJM4ieenpUbR+fS7+9x99W7Rg3LZt5OvQgX2nTuk6skTxI10T8mTLxtr+/TkybhzlCxQgMiqKiRs2kLNDB0atXp3q+4er1WqKubpStWhRirm6Jl33DC0ZW1nRoUULxnfqBLdusW3cOCpWrUrxAgVYs2xZiqh48nE/5lOnTnHv5mXalLNOuLyfhxX3bl4mKChIRxELIUTaJomz0AkTGxuGBQRwfv9+8ru4YPniBdy5gyYV3TL/nB/tmlAqTx72jhzJP4MHUzhHDl68fs2ApUtx9fFh9j//ECW1iROXsTHkyEGtGjXY1a0bmd69o1Hz5uTJkYO1y5bpLKyE+jH7du3Ii4gIXGwTHt7eNYsxaN4Rls7rqAshRFLR13UAIn3LVaYMW48ehatXiT52jJ99falerBh9mjXDxCjh5CA18CpcGM+CBQm6fp2wFy+wsbTEPWdOra+yqlQqqhUrRhV3d1YePMjApUu58fAhnWbNYtLGjYxo3py6JUok8VakLyojIypVrkylChU4eeIEY7dsISIwEHLn5r6JCa9evUq2WGL7MXs4RDCyhTUutkZcexTJ3D2hrH4RwfIjT2jnafPJ+0IevgW1ITY2n74mhBDix0niLHRPTw/y5CE6c2a89uxh5PLlLD54kGkdOlCjdGldR/fdYrsm/OgympYvT8MyZZizYwfDV63i6r17/DpuHEVdXGhVogTFixdPpIgFAPr6FC9dmjUlS0JYGOzbx8B161gXFETQ4cP0GjiQrFmzJtnqP+7HHNslo6CjCf4tnIh4eZ7xW+7T+mcr9PXVH7xPYeHBJ9g7F8Ld3T3J4hNCiPRMumqIFMPY2ppRixcTHBhIjmzZqDl6NO3HjgV50AlDAwO6eXtzbc4chjRpgrmJCaevXeP3FSuoNmQIp0JCdB1i2qNWg60tuLkxomFDGuXKxZz583HOnp2OLVty986dJFltUFDQZ/sx6+mp6FDRjlfvNLSaG0rwrde8jtQQfOs1fivucvCuJb5+/XTef1wIIdIqObqKFCdPuXLsOnGCVRMnUtXdHS5f5tndu0Smgf7PP8rC1JTBTZpwbc4cutasib5azZ7gYIr37Mmv48Zx9d49XYeY9qhU2OfMSYfatbk+cSKDK1Viy+bNRO3eDbdu8SSR+xOHhYWB5t1n+zEXyWmFVUZLrkU50XbpK8qNv0/bpa8IURVirP9svLy8EjUeIYQQ/0+6aogUSWVgQKOePeHlSwgKorufH0dv3GC6jw9VpG8vthkzMvm336jg5MS6CxdYfuAAqw8dYt2RI7SrXJk/GzfGzspK12GmORnt7OjfqRN9mjVD79Ej3q1eTeExY8ibJw99//wTr8qVUalUX1/QF9jY2IDakGuPIinoaPLJ6yEP32JobM60mXNQq9WEhYVhY2ODu7u7XGkWQogkJkdZkbKZm4OHB31Hj8Y+SxaqjhjBL0OGcOfRI11HliLYZ8zIwt9/54y/PzWKFyc6JobZ27fj6uPDgCVLeJ6MD7SlJ3qWluDqil62bEzw9ubxjRtUqlqVEoUK8feKFT9UR9nd3R17ZzcCDoQnXAv84BPsnd0oVqwYxYoVo2rVqhQrVkySZiGESAZypBWpQn4vL/aePs3SMWM4dO0aBbp25dn9+4mybI1Gw6mQEHacPs2pkJBUOXhEoRw52Prnn+wfNYpSbm68joxk1Jo15OzQgUkbNvD23Ttdh5gm6ZmZ8WuDBpyeMoUdXbpg8eYNQ/v0QXXuHLx6RfR3lA5Uq9X4+vXj4F0L/FbclX7MQgiRgkhXDZFqqAwMaNa3L97NmrFv8WIyRkXx7vJljr99y8/fOQJd4Nmz+G9cy72wu6BEg0ofexsHfOs00Mmodj+qXIECHB43jo3HjvHHkiX8d/s2vRYswH/TJoY1a0YLT0/09PR0HWaaozIyokrVqlSpWJHnoaGodu0iaMMGak6fTo/u3fH5/XcsLS21Xp6Xlxdj/efgP2EMbZdeBs1TUBti71yIsf79pB+zEELoiFyyEKlOhmzZqPPHH1CnDitv38Zj0CCaDh/OvW98SCvw7Fn6BszE1eImAU2MOdA9EwFNjHG1uEnfgJkEnj2bRFuQtFQqFXVLlSJ46lTmd+tGNhsbboeF0WbKFAp1787Go0dT9LDSqZq+PhlcXMDVlUxGRtTIkYMBQ4eS3cGBP3x9efjwodaL8vLyYsOW7cxZso6RUxYyZ8k6NmzZLkmzEELokCTOIvXKlo0W48ezcMQIdl+6RJ5OnZi0cqVWI+tpNBr8N67Fw+kNE+paU9DeCFNDNQXtjZhQ1xoPpzf4b1ybKrttxNLX06Nt5cpcmTWL8W3akMncnIu3b1N31Ch+7tuXQxcv6jrEtEtPD+f8+Zk3cCA3xo+nfdGiTJs9m/HdusH9+6DlDxe1Wi39mIUQIgWRo7BI1VSGhrQaMIAr58/Tsnp1eq9YwT9bt8JX+vQGXb/OvbC7tCll8UmtXLVaReuSFtwLu0vQ9etJGX6yMDEywq9ePa7PnUv/hg0xMTTk8KVLePTrR63hwzl386auQ0y7VCocXF0Z7+fHrSlT6J8/P6xbx8QOHWhSpw5nTp/WdYRCCCG+gSTOIk3ImD0709et48KePdSqXh1u3GD68uU8ePIkwfnDXrwAJRoXG4MEX3fNbABK9Pv50oiM5uaMatmSkDlz8KlWDT21mi0nTlD4999pOXkyN7+hG4H4dpns7bEuWhSsrMjy+jXH/v0X92LFqOrhwd7du6X7jBBCpAKSOIu0Q6UiT4UKqGrX5mGxYgzZsgW3jh2Z9vffRMfExJvVxtISVPpcC0t4UJWQx1Gg0n8/Xxpjb23N7M6duThjBr+ULYuiKCzZuxe3Tp3oMW9emvqxkCKZm9O8cWOuTJvG8pYteXj9Ol6VK/Pv8uUQGanr6IQQQnyBJM4i7TEwIEuFClw+e5bGlSrx+5IlFO/ShcPnzsXN4p4zJ/Y2DgQcjUi4Vu6xCOxtHHDPmTO5o082uR0cWN23LycmTqRi4cK8i47Gf9MmcrZvz/CVK3n55o2uQ0wTpQI/R9/cnCYNGxI0ZQp7u3en7P378PffdGjYkAWzZhEpSbQQQqQ4kjiLNMs6Z07mbNrE0Q0bMDAxYcuePfDgASjK+1q5dRpwMNQEvw3hBN+N5PU7DcF3I/HbEM7BUBN86zRIFw9jFc+Vi93Dh7Nz6FCKurgQ8eYNfy5fjquPDzO2buWdjoY6Dzx7lrojhuAzdTQDAqbgM3U0dUcMSbXVTj5HZWSEZ6VKqFxcePv0KWGXL/Nb587kdHRkwogRRERE6DpEIYQQ/6PTrODAgQPUqlULe3t7VCoVGzZsiPd669atUalU8f6VKlVKN8GK1EmlokTt2hw9d47Bo0eDnh7+8+Yxa/16yhcowNg2nQmJcKbtyreUm/qUtivfEhLhzNg2nVNlHecfUdndnRMTJ7Kyd29c7ex4+OwZXefMIW+XLqzYvz9Zr/am1VKBX6Svj7GTE+uGD+fisGFUdXLijyFDKJg7NzEyUqYQQqQIOh0A5dWrVxQuXJg2bdrQoEGDBOepVq0aAQEBcX8bGhomV3giDdEzMUGvRAnIlYuQTZuYERDA/N27mdmlCxsGDiHo+nXCXrzAxtIS95w508WV5oSo1Wp+9fCgfunSzNu5k6ErV3L9wQOaTpzI+PXrGd2yJVXc3VGpVF9f2Hf6uFRgbNWT96UCDfHbEI7/xrV4FiyYNj8nPT3yFinCgsKFGRYSwtnz59Fbv56ndnYM2bQJ3z/+IEca7kIkhBApmU7POtWrV2fEiBHUr1//s/MYGRmRNWvWuH9WVlbJGKFIczJlYvr69Rxeu5YYPT1K9e9Px0mTKJg9O1WLFqWYq2vaTMa+kYG+Pp1q1ODa3LmMaN4cS1NTgq5fp9qQIVQcOJDjV64k2brTU6nAL1KpyJYrFzXr1QNTU87v2MHyVavIlSsXTevU4WxQkK4jFEKIdCfFD7m9b98+bG1tyZgxI+XLl2fkyJHY2tp+dv7IyMh4D9W8+F+FgKioKKJ01FczvYht39TQzsVr1eKwlxdzRozg2IEDqK5eJTpbNjQmJqkmcY75X6WQmI8qhiQmI319+tavz2+VKjF27Vpm/vMPe8+do6SfH/VLlWJYs2a4OTgk6jofPn0KShQ5rc0TLNHmYqMPShQPnz4lWovBbhJDcrT1F5mbU7pSJa65uxOwdSuT9++nSNGiDOjcmcETJoB+ij+Uf5PUdCxJ7aStk5e0d/JJqjZWKSmkeKhKpWL9+vXUrVs3btqqVaswNzfHycmJGzduMGjQIKKjozl16hRGRkYJLmfIkCEMHTr0k+nLly/H1NQ0qcIXqZhBRAQZr13j5L//Mu/MGXrVqJHoyWBa8eD5c+YdPMi24GAUQE+lwrtwYdp6eGBrYZEo67h0/z4Td6xlXiMD8mf9tM72+ftRtF8TRa+qDchjZ5co60xtNK9fsy8oiOzm5uTOl4/D0dE80tfnp9KlU80PPyGESEqvX7+madOmPH/+HMtELC2bohPnj92/fx8nJydWrlz52e4dCV1xdnR05P79+1hbWyd22OIDUVFR7Nq1i8qVK2NgkPDAIimWonBswwY6+flx8c4dOpQrx7C2bcmUSMlgUoiJiSEoKAh3d3f09PSSdd3nQ0P5c/lyNp84AYCJoSFda9akd716ZDI3/6FlazQaGowejqtlKBPqWMXrrqHRKPhtfELICyfW9h+UbEmiLtv6iyIj4eFDeq5Zw7R//8XN2ZnevXvTuFWrRH8eRKPRcObMGcLCwrCxsaFIkSJJ1v6p+liSykhbJy9p7+QTHh6OnZ1doifOqer+np2dHU5OTly9evWz8xgZGSV4NdrAwEB20mSSWtv650aNCKpRg+lDhvDnjBmsPXmSHQMG4F6ggK5D+yI9PT30k/lWfREXFzYNGsS/Fy/Sb/FiDl28yPj165m3axf9GjSgm7c3Jp+5K6SNHnUb0jdgJr03PqF1SQtcMxsQ8jiKhcciOBRqwtg2DZP1QWGNRsOl+/d5oqdHlkyZUs4DpPr6kDMnU3v2pHHp0ozdto12XbowZNgwNqxaRbHy5RNlNYGBgfhPGMO9m5dB8w7Uhtg7u+Hr1w8vL69EWUdCUuuxJDWStk5e0t5JL6naN1UlzuHh4dy+fRu7dHp7ViQ9fXNzfCdMoFHr1oz/80/yGhhAaChhFhbYyIOpnyibLx8HRo9my4kT9F+8mAu3btF30SKmbtnC0CZNaFWxIvrfcYXWq3BhxrbpjP/GtbRdeReUl6DSx97GmbFtGiRrqcDAs2eZvOFvbt6/gZGBGlQG2Ns44FsneeP4IgMDypQrx8ayZblw9izT/vmH3OfPg4EBW2/dokTFimTOnPm7Fh0YGEhfXx88HCIY2cIaF1sjrj2KJOBAMH19fRjrPydJk2chhEhJdJo4v3z5kpCQkLi/b9y4wZkzZ7CyssLKyoohQ4bQoEED7OzsuHnzJn/88Qc2NjbUq1dPh1GL9MC+QAEm//033LhByJYtFGrfnvblyzPst9/IYGam6/BSFJVKRa0SJahRrBhL9+3jz+XLufX4Me2mT2fChg2MatGCuqVKfXMJO6/ChfEsWFCnpQJj60n/7PSagR4GFMhmyfXwaAKOvq8nneLqfevpkb9oUWYXKQJPnhC5fz9tRo/m5bt3/NasGb0GDsQ5Rw6tF6fRaPCfMAYPhwgmNHH4/9KAjiZMaOKA34q7+E8Yg6enZ8q4Ai+EEElMp0e6kydP4u7ujru7OwA9e/bE3d2dP//8Ez09Pc6dO0edOnXInTs3rVq1Infu3Bw5cgSLFNzvVKQhajW4uJC9TRuGduzI/IMHcWvfnqU7diRY7SG909PTo1XFilyeNYtJv/2GtYUFl+7cof7o0ZTp04f9589/8zLVajXFXF11UiowXj3pOtbkz2qAqaH6f/WkrfFweoP/xrUpcxhwtRpsbDAqUID/xoyhX/nyrFi1CldXV1rUr0/0u3daLSYoKIh7Ny/Tppx1wqUBPay4d/MyQVIaTwiRTug0cfb09ERRlE/+LVy4EBMTE3bs2MGjR4949+4doaGhLFy4EEdHR12GLNIhQ0tLek+dyqXjxynn7k6LGTMYMns26Ko0WQpnbGhIjzp1uDZ3LgMbNcLUyIijly/j+ccf1Bg6lLM3bug6RK2klXrS1o6O/Nm1K6FTpzKpdm3MHj5Ef+dONCEhHD106IvvDQsLA807XGwT7q/umsUYNO/ezyeEEOmA3FsTQkvZChVi9b597AwI4Lfq1eHKFYJOnybi9Wtdh5YiZTAzY3jz5lybO5fONWqgr6fHP6dO4e7rS/OJE7nx4IGuQ/yisBcvQInGxSbhB0xcMxuAEv1+vlTALHNmurdty+zu3SEkhJ3jxlHaw4OyRYuyaW3CV85tbGxAbci1R5EJLBFCHr4FteH7+YQQIh2QxFmIb6FWU7l1a7K3a4emXDkaz5pFng4dWLV7t3Tf+IysmTIxo2NH/psxg189PFAUhWX79+PWuTPd587l0bNnug4xQTaWlqDS51pYwkX0Qx5HgUr//XypiakpuLhQpVIlNvv4oHr6lDoNG1Iwd242rFoVb1Z3d3fsnd0IOBCORhN//9ZoFBYefIK9s1tcd7vvodFoOHXqFDt27ODUqVMps+uLEEL8jyTOQnwPExPUpUqxa9s2ShYoQOOpU6nUuzf/3byp68hSLFd7e1b27s3JSZOoXKQIUdHRTNuyBRcfH4YsX57irty758yJvY0DAUcjEk4aj0Vgb+OAe86cOorwx6hNTPCuWZNDEydysGdPchoacmfLFjh9mrAbN3j58iVqtRpfv34cvGuB34q7BN96zetIDcG3XuO34i4H71ri69fvu/ueBwYGUte7Gj4t6jPg99b4tKhPXe9q7N27N5G3VgghEockzkL8gOxFi7Lu4EG2/fUXoc+f03j0aJR02N9To9FwKiSEHadPcyok5ItXDYu5urJz2DB2Dx9OcVdXXr55w9CVK3Hx8WHq5s1EppChaNVqNb51GnAw1AS/jU84fz+K1+80BN+NxG9DOAdDTfCt0yD1V5MwMOBnT082jxpFFw8P2LOHQW3a4OTgwJC+fSlUqBBj/ecQoipE26WvKDf+Pm2XviJEVYix/rO/uxRdbJk7VyWYgBbmHOhtR0ALc1yVYP7o1YXg4OBE3lAhhPhxKWbkwKTy4sULMmTIQFhYmIwcmMSioqLYtm0bNWrUSJeF3d8+ecKdwEBcw8O5eO0aF6OjaeDp+c1l2LQVHR3NyZMnKV68eLIPgPKhwLNn8d+4lnthd0GJ/l+9Ze3qHCuKwt///suApUu5eu8eAM62toxo3pwm5cqliKQ0VdRxTkwaDaFXrjBp40b+On4clZ4e7Zo3p8/gwTx4+DBu5EB3d/fv/nw0Gg11vavhqgTHK3P3/jWFXivuciTMjv2HjiY4oJVIPOn9uJ3cpL2TT3h4ODY2Nul75EAhUjJjKytcGzaEhw9Z6evL8JUrqbJ9O9O7diVXMlSD0Wg0yV7zOLbOsYfTG0ZWtsDFxoBrYVFa1zlWqVT88vPP1C1VigW7dzN05UpuPnpE80mTGLduHaNbtqR6sWJJ9uNDG16FC/Nz3rws37oV22zZUtbIgUlBrcYpTx6muLkx6PZtpm/cyIyVK+lUsiTFqlXjZa5cmP/gSSi2zN2I5ta8efOG6Oho9PX1MTU1Ra1W0ernTOycd4czZ85QsmTJRNowIYT4cWn0yC+EDmXJwrClS9k0axZXHj+mQPfuDJo3j9eRCVcmSAyBZ89Sd8QQfKaOZkDAFHymjqbuiCEEnj2bZOuMV+e4rjUF7Y2+u86xgb4+PtWqETJnDqNatCCDmRnBN29Sc9gwPP/4g6OXLiXZdmhDrVaTx86OKu7uyV5PWmdUKmyyZ2dIt27cnTGDPC9eEPP33xTNm5daFSvy74ED373osLAw3r19CS9vEXrjGndv3yD0xjVCQq7w4kUErlmMUSkxUuZOCJHipIOjvxA6oKdHrY4duXDxIn2aN2d2YCDPzp2Dt28TfVV7z52jb8BMXC1uEtDEmAPdMxHQxBhXi/dXfZMqeU6KOsemRkb0/+UXrs2Zg1+9ehgZGHDgwgVK9+lD/VGj+O/27cTeDKEFw0yZIFcuFFtbBnp6cv3CBX4uXx6P4sXZsn79N1eUuXHjBk+eveDhkzc4W6txy2qAs7UaY95w53YoZ288QVHpSZk7IUSKI4mzEEnINHNmhi9cyM2zZ7H/6SeeXblCyxEjuH73bqIsX6MoTN20LlGu+n6rpKxzbG1pyfg2bbg6ezZtK1VCrVaz/uhRCnTrRrtp07gjVyJ1Qt/CgpaNG3Nu6lQ2duhATFgYvp06ERMcDG/eaLWfaTQatm5ci5mhmm2XVBjrq9BTqTA1VJPNyhAzg2j+2vMAC2sHihQpkvQbJYQQ30ASZyGSgVnOnFC9Ojfy5mXftWvk69aNoQsW8FbLoY8/58qDB9wP183odslR59gxc2bmd+/OualTqVuqFBqNhvm7dpGrY0f6BATwJCLiu5ctvp/axITa3t78O3EiR3r2RH/nTi5NmYKLoyNTx43j1atXn31vUFAQ90Ov0NvbjkOhevhtjCL4nobX7xTO3dMwYR/885+GIsVLpY8uMWmc1OkWaY0clYRILnp6uNevz38XL9KjcWNGbt5Mfh8f9p8+/d2LfPbmjc5Gt0vOOsf5smdn/R9/cHjcOMrlz8/bd+8Yv349Lh06MObvv5O0/7j4PJWhIZnz5oVcuTDUaCibJQs9+/fHycGBYf37Ex4e/sl7YofxblrairGNsxPy3IS2K2MoNz2KtitjuP7clAyWFmTNmlUHWyQS0+fqdAcGBuo6NCG+myTOQiQzM1tbRi9ZQnBgIDmzZUPv8WO4exclJuabl5XRxERno9vFq3O8IZzgu5FJXue4dJ487Bs1iq1//klBJyeevXpF/8WLyeXjw9zt23kXFaV1PWmRiPT0yFmwIEsHDyZk9Gia5M/PmIkT+bNdO3j4MN6sHw7j7ZXfkg09cjGnnQsjf3V+//8vDlhamGNhYaGjjRGJ4Ut1uvv6+kjyLFItKUcnRCLSaDQEBQVpVes2T7ly7Dp5Eq5eRXPsGFV698bL3Z1ejRtjpGV9z9xZs2Jn7UDA0VAm1DX8pB7u+6u+zkk2up1X4cKMbdMZ/41rabvyLigv/1fH2ZmxbZKmzrFKpaJG8eJUdXdn+YEDDFq2jNBHj/CZOZN+C+eRwVQffbUafT19XO2d6FG3Ydqst5wSqdU4583LtDx5+PPWLWIePYK1a5lz+TJH7t2jz+DBHwzj/f81nIvlMAPe77N+K+6S1akgOVPpiIzifxV3JozBwyEiXp3ugo4mTGjigN+Ku/hPGIOnp6d0xxGpjiTOQiSSwMBA/CeM4d7Ny6B5B2pD7J3d8PXr9/nR1fT1IW9eomxtcd+xg8GrV7No3z6m+/hQuUSJr65TrVLRvXZ9/lg0G78N4bQuaYFrZgNCHkex8FgEB0NNGNsmaUe38ypcGM+CBZO9hrSenh4tKlSg0c8/03P+fJbs2Yal0TtM1O8w0AMNaq7cukCnmbeZ1bnHNyXPH9fELpg9exJuSRqkUpHZyQmcnODFC4wfPWL3rl0s+vtvaleqRGVvbxbPv4Hfiru09rDCNYsxIQ/fsvDgEw7etWTkhN68efNG11shvlNsne6RLawTfvbCw4q2Sy8TFBREsWLFdBSlEN9HEmchEkHsbUkPhwhGtrDGxdaIa48iCTjw/rbkWP85Xxya2MjamvErVtC6fXu6/P47VUaMoP3PPzPXzw++koBWKFgw2a/6fkytVlPM1TXJ15MQAz09gkIuY2Wqpk5+haZFFXJawfUnGpad0rDp4lMGLlnIoYITtUrmExoJ0c7anqpu+SlevHgybFHS0cUgOVha0qppU5p4e7NsyxbGBQayafduJvTty/6zJ2m79Cponv7vh2Yhxvr3w8PDg23btiVtXCLJxPZjd7FNeNRH1yzGoHkqdbpFqiSJsxA/KDFvS+b38mLv6dOsmDyZmJAQuHKFiIwZMbK2xvAL3Td0ddU3JTgVEkLI/Vv8Whgm1zEAFUTFxFAgawwjq0OURmHlmetsOHqU+mXKfHFZnxsJccHRUObsu4WbmxuV3d2TacsS17cOjZ7YSbahpSVtmjalVb16bA8MpJq1NT2at6HVypXY585N/UaN+Omnn1Cr1URFJdxnX6QOH/ZjL+ho8snrIQ/fgtpQ6nSLVCntn1WFSGKxtyXblPv8bcl7N9/fltSGysCApn360GLiRChZkt6LFlGkc2cCT5364vtir/pWLVo0/YxuBxy7cgVDdTS/lVSjVqtQq1QY6etjYmiIob6alsXBWF+h4dixdJ41iwdPnya4nC+OhFjHivI53zF107pU+cBh7A8CbQfJScqRKNUmJtSoWRO1iwvRT57wJCSEcZMm8Wu9esycNInXr1//8DqEbv1/P/bwhCvuHHyCvbMb7qn0R6hI39LHmVWIJKTdbcl3335b0sICypWj059/YpUpExWHDqXJ8OHck9ubn9BXQ7YM8aepVSqMDAxwsdbDQA8URWHWP//g0qEDA5cu5flHtYa/NhJi82LG3A9PmprYSelbh0ZPKMme39gIC0LoOGMys7dtS5wfDwYGGDo7s3X0aIIGDqRMliz83qcPeV1ciHr06MeXL3RGrVbj69ePg3ct8Ftxl+Bbr3kdqSH41mv8Vtzl4F1LfP36pZsf9yJtkb1WiB/04W3JhPzobcnCVapw4MwZFo4YwZ5Ll8jXuTPhiTTyYFpQMnduFPQJuqPh44GfFeDMXQWVyoBZHTtSInduXkdGMnL1alw6dGDyxo1xg9B8bSTEnNb6SVITW6PRJGkJvW8ZGj06Opohy5fgaP6CJsXMyZ/VkKM33jJoSziXH7yFmKeMXjWfOol09RkAPT2KlCjB8iFDuDp6NOMrVsRw0yaMT5/mD19f7ty5kzjrEcnKy8uLsf5zCFEVou3SV5Qbf5+2S18RoirEWP/ZX3zmQ4iUTPo4C/GDEiqvFev/b0sW+qHbkmojI1oNGEDt5s3ZPm8e1tHRRIaEcPH27VT/wNqPKubqiqNtdpacukHuzFFkNtfDyEBFZJTC45cxLD0NjrbZ6VCtGj7Vq7P+yBH+WLKEy3fv0nP+fPw3bWJY06bkdXSMq4ld0P7TuwfXw6MTvSb2t/Y7/h7aDY3+kt1nztBr3myu3wvhhRl0WhWJsb6axy9jqJkXRlZTY2ehx6GbGvZcu0bfgJmMbdM58R4+VavJmS8fOfPmJTosjEcnTjBv3z6mzJ1L8wYN6DN4MHny5k2cdYlk4eXlhaenp9YlOoVIDb55742MjOTgwYMsWbKEOXPmsG7dOm7cuJEUsQmRKiTnbclMTk40GTYM6tRh7b17/LZkCa3HjOHhZ/rtpgdqtZphzVtz6kFGBu9Us+OyhjN3otlxWcPgnWpOPcjIsOatUavVqFQq6pcpw/np0/mra1ccrK259fgxradMoe3UqRgYmLPgMyMhLj31FjvrxBkJEb693/H30mZo9BdvNSzbu438VneZXg8OdtVjwa8qXK3fERkdQ428Kgraqclkpia3DQyrbvZJF49Eo1JBpkzkcnfn+uTJjKpWjR3bt5Mvf34G//47fMdAQUJ31Go1xYoVo2rVqhQrVkySZpHqaX3F+fDhw0ybNo0NGzbw7t07MmbMiImJCU+ePCEyMpKcOXPSoUMHOnbsKCM+iXQn9rak/4QxtF16+ZPyWol6W1KlAkdHGgwfzukHD1i4eTObfXwY0agRnerVQ19PL/HWlUp4FS7MtI49mLxxLYN330RRolGp9HHK6sy0ju+v3n5cJaJtpUo0K1+eaVu2MPrvv7lw6xYANx8aEBUdTYeymeJqYgcci2D/dUMm+dRPlBP/x/2O4yqx2Bsxoa4hfhvC8d+4Fs+CBX94ff8/NPrNBAfJCTj6gjdRGmrmi2ZY9YzcDotETw0u1uDnCRZGMPVgDF6uaiKjFVCpMDTQp3VJC9qufN/FI6lKEVrY2uLXoQPdGjVi6datuMTEwMaNnFKpeGxgQNWaNVGpVF9fkBBCJBKtEuc6depw4sQJmjZtyo4dOyhevDimpqZxr1+/fp2DBw+yYsUKJk2axOLFi6lcuXKSBS1ESpTctyXVRkZ4NG5M76FDGeznx+9LlpBFpaJR7dqg5ciDacmXSvJ9qUtEnwYNaF+1KmPXrmXK5s08ePGOeUei2HzhHZlMjdHXN8LO2gkfz/xUKFgwUWKN7Xc8svLn+x0nVlIaOzR634CZCQ6Ss+OqARlMomhbygJzE0MM9A0If/kOS2M1ahW0LQHt1yicvquQxVyDgb4hpkZGuGZWQHmZ6H2+E2KUMSO/NWsGb9/C3bssWbOGKQcPUtjNjf9j766josy7AI5/Z+hGwQIDBVtUzF1b1lg71+7CFhW7WxQVu9bFWsVdAztWcY21ETuxxQQDlGbm/cN1XwOVmGEA7+ccz9mFmXnuPAzDnd9zf/cOGzGCX9q2RV9fKg+FENqXqL/otWrV4u7du3h5eVGlSpWPkmaAfPny0bFjR/bs2cP+/fu1EqgQ6YEuLktmzpuXJVu3cm73bprXqwe3b/Pbpk08f/VK68dOaxJqyZeYkohM5uZM79iRoKVL6V6rFrHxCu6/iOH8wzBy2OZhdlc3yjg4aCzOxNUda24j4vvR6EHhDnTxjaLKvJd08Y0iKNyBjj/VxVhfiaOtAQoUZLPORHiMktCIeNRqyGUFajVcexpPeIySbNaZUKAg6Hmsxmu+v8nYGBwcmDNgAP4DBpAdaNOpEwUcHDhz+HDqxSGE+G4l6iN6nz59Ev2ARYsWpWjRoskOSAiReCqVirNnz/Lq1SsyZ85MgIUFd+7cYeCGDQzasIFprVvTo2FD9L7D8g1IekmEvY0Ny/r2ZXDjxoxau5ZNx46x48wZ9p07R9NSpZhToADZM2dOcVwf1h0ntBFRG0npl1bkA2/f5s/Du/+LxdLElJy2WXj68iWxqihOPVATpwIzYwNy2tpgaWL6btPryXDsbB00VvOdFApDQ6r/9BPVq1Uj8MwZZu/eTb5z58DIiIPPnlGyUiUyZcqU6nEJITK+FF3bunTpEocOHSI+Pp4KFSp897v7hUhNBw8exHPqROLehhIW/oZX4RGYGCiwsjDFMVcmXofF0NvHhxX797OoTx/KFSmi65BTXXJLIgrmzMnG4cM5deMGw1et4uDFi/ieOsWuS5cY0qQJAxs1wszYONlxfavuWFtJaUKj0ROKxdLEFAsTE56+fM2sQ6FExipxyGqLvp4RF4KjWXkynCP3TPDs3Ey3m7309HApX541ZctCaCix/v60nj6dt7Gx9OzcmYGjRmFnZ6e7+IQQGU6y3/EWLlzITz/9xKFDhzh48CA//fQTU6ZM0WRsQogv8Pf3Z+TgPpSyuIvbjwos9CJoWTyOX5vF4tP0DQt/MaSRiz7F8mbnVUwMa7dvh2fP3l1z/46ktCSiXIECHJg8mZ1jxpA/WzbCIiIY8/vvOPbowaJdu4iNi0tWXO/rjo/cM8HDL5QLwdFExKi4EByNh18oR+6Z4N4odZLSL8VyMTiGGQfjOPskE7aZHei+IeajEg+NtqJLKaUSsmTBoGhRzk2cSL8ff2S5jw8OefLQrXVrYqIT7rEuhBBJlegV54cPH5IzZ87//n/BggVcvnz5v6EOx48fp2HDhowaNUrzUQoh/qNSqfD2mk7lnOGMqp2JzqtCqOoQj1cjQxRKBQ9fxBDFC2a2ys8Q32BuqosydfQEuHaN5WvWgLU1XevX/y7aQmmiJEKhUFDLxYWVXbpwOyqKcevXc/vJE/osWcJsPz8mt2tHi0qVknw+39cde2/dRBffYFC/+XfTogOenTXXxzmlsczv2eyLmy7THIWC7PnyMdXdneGtWrF02zYCb97EcP9+1EWLcuHFC0qUKqXrKIUQ6ViiE+effvqJ3r17079/fxQKBTY2Nuzdu5fmzZsTExPD/v37yZIlizZjFUIAgYGBPLp7nUntMnPpUTiPX0QxtZb+f5f7bcz1uRsaTVRUJJ0qZ6bL2iCum5hQumlTzm/fzsJff2XFX3+xqG9fShUsqONno12aLIlQKhS0qlyZFpUqsXzfPib6+nLryRNae3kxc8sWpnfoQM0kDrn5WieQ1PatWLTVck5bLLNnZ3C3bgRevsze7du5u3IlPTdupPoPPzB8zBhq1qkjreyEEEmW6Hfn06dPc+3aNcqXL09gYCDLli1j9uzZmJiYYG1tzYYNG1i1apU2YxVCACEhIaCKwTGrEaFv4wE1jrb/TwCMDBSAiri4OJyyGYMq5t19MmdmgZ8fh319iVCrKTN0KH3mzCEqA1/G1kZJhKGBAX3q1ePWsmVMbNMGCxMTzt66Ra1x46gxZgxnbt5McoyfdgLRlbQUS0r5nz9P48njcVvuzag9f7D89EHK5bYj+NYtaterR+miRdmxebOuwxRCpDOJfle0tLRk8eLFzJkzh06dOrFixQqOHDnC69evCQ0N5dKlS5QtW1absQoh4F15lNKQW8+isTHTAxTcCvl/7XJ0rBpQoq+vT9DTKFAa/ldShUJB5ZYtOXvlCrMHDeLBixcY3bkDERGoM2j989dasaWkTtfcxIQxrVpxa9ky3Bs2xFBfnwPnz1N28GBaeHpyIzhYw89EJFaCLQjbmFLRMQJLcz1mNm6MbVwcl//4A86d4/WjR0RFRek6bCFEOpDk5YSKFSty5swZrKyscHFx4fDhw1hbW2shNCFEQlxcXLBzKMjKIy8oZmdAjszG+JyMQ6VSowZC38RhYGSEsbEJK4+8wM6hIC6flBDom5nh7uXF1v37UZQowYHDh6k8cCDnk7haml64liiB3+jxLO0/gimdB7C0/wj8Ro/XSB1xFisr5nTrxvXFi+lQvToKhYI///mHIn360HPRIh6FhmrgGWQcKpWKgKAg9p49S0BQkMZHdn/agtDZzghTQ+W/LQhtqOwQxeGHd9kzbRpDqlaFffuY1LkzDvb2TBs7llffYf9zIUTiJTpxjouLY/HixfTr149Vq1YxatQotm/fjpeXF7/88gtPnjzRZpxCiH8plUrcPYZz5KEFY7e9pIGLNYfu6jFgSwx/XY3m2Vslz+MyM8Q3mCPBlrh7DP/iJXeFrS3UqIFJtWq8iI6mlIcH7vPm8frt21R+Vtqn7TIEh2zZWDVwIOfnzqV+2bLEq1Qs3bMHJzc3Rq5ezas3bzR6vPTov/KJedMY5TMXt3nTaDx5PP7nz2vsGO9bEHb+4cstCB+FBBN4/z7KnDmhYEF6VqtGIycnxk+bRm57e4b27cvTp081FpMQIuNI9F+O7t27M3/+fMzMzPDx8WHgwIEUKFCAgwcPUrt2bX788UcWL16szViFEP9ydXVl6qyFnA13YNkJCI83ZcMFfbpvMqDzZnP6b1ETpCiOp/cSXF1dv/5gSiUVfvmFc1euML1fP349coRCPXoQcOlS6jyZDMbZwYHtY8ZweNo0fixUiMiYGKZt3Ei+Hj3w2rKFqJgYXYeoE4mZ4KgJSW5BqFTiVKwYS0eN4q6XF73LlWPpihU82rIFHj0iKjJSI3EJITKGRHfV8PPz49ixYxQuXJjIyEiKFSvGvHnzAOjWrRsNGzbE3d2dXr16aS1YIcT/Va9enWEjx2JnZ/ff5ECAFy9eYGtri4uLS9I2vVlaMmTuXFp37cqUkSMpqFTC/fu8trbGKjXHKmcQlYsW5R9PT7adPMnINWu48uABQ3x8mLt9OxNat6aDqyv6GWyio0qlSrArR1InOKZEslsQKhTkyJeP6YMGMebZM8xev0a9aRPl58yhQOHCDBs3jjLlyqUoNiFE+pfoxDlr1qzs27cPR0dHDhw4gI2NzWffX7duncYDFEJ8mVKppFSpUhgYJLy6lhw5ixdn8bZtcPs293fvxrlbN7pXrcq4zp2xMDXV2HE05UvJWlqgUCho9MMP1C9bltUHDzJu3ToehITQdf58vPz8mNq+PY3Kl88QbdH8z5/He+smHoUEgzru3z7Q9rg3aoaVmVmyJjgmhyZaEJplzQpZsxIfFkafMmWYefAgZcuX56cKFRg+Zgw/1a6dIX5mQoikS/RflwULFjB16lRMTEzo2bMn3t7eWgxLCKFTSiU4OZGtfXuGde7MIn9/CvXowYb9+9NU943UqJnVBD09PTrXqMGNJUvw6tyZzBYWXH3wgCZTp1Jx2DAOp/OymG+VYew/dy5FExyTQpMtCPUtLenRvj3XFizgj06deHn/Pp3atiX2wgWIikpTvwtCiNSR6MS5Zs2aPHnyhCdPnvDw4UMqVKigzbiEEGmAkbU1Ixct4uqJE5QvVoxW8+YxeuFCiI/XdWipVjOrScaGhgxu0oTby5Yx8pdfMDE05Pi1a1QdOZJ6Eydy4c4dXYeYZN/sYpEnkt1nTqBGj1shsQk+RmImOCaFplsQ6pma8kvTppyZM4cTgwZh+Ndf3F28mKKOjiybPz/RrexUKhUBAQHs3buXgIAAjXcUEUJoX6JLNeDdZUeZDijE9ydPqVJsPnKE3b/9huOrV3DjBldiY8mdPz/mJiapHk9Ka2Z1Xd5hZWbGlPbt6VuvHhN9fVm+bx+7zpxhd0AAbatWZVLbtjhky5Zq8aTE+y4WXyvDOOz7AjPTzPiceJbiCY6JpY2pjAojI3IWLw5xccRfvkwRc3N6DhjAuAkTGNi/Pz3d3bH8QvLv7++Pt9d0Ht29DqoYUBpi51AQd4/h397AK4RIMxL1DvLzzz9z7Nixb94uPDwcT09PFi5cmOLAhBBpjFJJnW7dKNC7N+oqVWi5aBFF3NzY9PffqX7JOtEtx27f/uy+aam8I0fmzCzu3ZurixbRolIl1Go1a//+mwK9euG+fDnPX79O9ZiSKnFdLOKpV/YHjU5wTAyttSDU18exRAk2TprEtUmTqO/oyJhJkxjUti08f/7Zzf39/Rnm7oaT+gI+7c05PCQHPu3NcVJfYJi7G/7+/pqJSwihdYl6F/nll19o0aIFhQsXZtiwYfz555/8888/BAQEsH//fubNm0eLFi3IkSMHgYGBNGzYUNtxCyF0xdQUxQ8/sHXLFkrkz0/z2bOpM2IENx88SLUQktxy7F9ptbwjv50dG4YO5fSsWdQoUYLYuDjmbt9Ovh49mOjry5s03BLtwy4WCXlfhlGjZEmtTHDUKaWSAsWLs3zUKO7MmMHY4sVh0ybWjhiBW7t2BN28+e7qiNd0KtuH49XaHudcJpgaKXHOZYJXa3sq24fj7TVdyjaESCcSVarRtWtX2rdvz8aNG9mwYQPLly//b7qSQqGgSJEi1K5dm4CAAAoWLKjNeIUQaUS+cuXYfvw425cto//YsTQYP54rM2ag/KTjzpekpFwiOS3HUrMlWnKVyZ+fvyZNYv+5cwxfvZqAoCDGrVvHwp07GdOyJT1q18ZQgx1UNCEpXSyUSqXGyyfSBIUCOycncHKC16+JuX0bv927+XX9elwrVODp45tM6WqT8NWRypnpsvY6gYGBlC5dWkdPQAiRWImucTY0NKRNmza0adMGgNevXxMZGYmNjY1GW2EJIdIRPT0a9OpFjV9+4c7evSjDw7l1/DiX4+NpWKnSF+/2tdZliVl5TE7LscTU4mqqJVpK1ShZklPFi7Px2DFGrVlD0OPH9Fu2jDnbtjGpbVtaVa6cZpLN910shvkswsMvlE7lLXDKYkDQ81hWngznyD0TPDv/vwzjfflEhmVlRZd27Whdty6rduxgwt69KBXh2OoZgtoYPmlj55TNGFQvCQkJ0VHAQoikSPY7r5WVFdmzZ5ekWQiBia0tRdq2hcaNWXvvHo1mzKDByJHcDg7+7LaaKJdITsux5JZ36IpSqaRFpUpcWbiQxb16kT1TJm4/eULbWbMoPXAgewIC0kw7NE13scgITDJnpmeHDvgNG4aViRnPnsbAq1c8un+fly9e8P5HF/Q0CpSG2Nra6jZgIUSiJKmrhhBCfFX27IxdtQrn8uVxnziRov36MaJBA4a2bYuxoaFGyyXeJ2veWzfRxTcY1G/+Xbl2wLPz5yvXyZ4op2MG+vr0rFOH9tWr471tGzM2b+bcnTvUmTCBas7OTO/QgfJpoEROG10sMoKyxYrhlCs/q87eYWYOA96EhfHo2XOMDYPJkjUrPkdisXMojouLi65DFUIkwvf9jiaE0DiFvj5N+/fn6pUrDGzdmlm7d/M4MBCio1PUDSMhriVK4Dd6PEv7j2BK5wEs7T8Cv9HjE1zh/H95Rzgq1ccrtf8v77DXaEs0TTIzNmZUixbcXraMQY0aYaivz98XL/LDkCE0mzaNaw8f6jpE7XWxSMf+uzpy35Qhu94QRRbyZM7G3VBw//0ha4+G0Lurm5wrIdIJ+U0VQmiFWdasTF29mvvnzpG3fHne3rjBmN9+Iz4+WqPlEolN1jQ5UU6XbCwtmdW1KzeXLqXTTz+hVCrZfPw4xfr2pfuCBQSHhn50e5VKRUBQEHvPniUgKEi6N2hZQuf7o1KWDdHU+S2G8f6WPIt0pHPpSvz88iVR/v5MGjGCp0+f6vopCCG+Qko1hBBaZVWwIDg6EhQXx+m7d1HyhhNBUK1wFpSfbJTSdrlEUss70rLcWbLgM2AAHk2aMHL1aradOsWv+/ax9u+/GdCgAcOaNSPw1q0UbcIUSfOtTa8JlrIoFPDiBec2b2bGr78yZdYsurRpg8eYMeRzdNT1UxJCfCLJiXOnTp3o0qULVapU0UY8QoiMSF+fEk2aEHTtGuV/KMOvx59ga/KWvNmyYWFqCmhvgtynMlotbtHcudk6ejT/XLnC8NWrOXrlCp6bNrFg506yWxrQoIiSKTUtcbQ14FZILD4n3m3C/F437WnL+02vlfNEMqWmxRfPd4IdRWxs+KF2be47O7PIz4+5mzaxdM0aRvfrx4TZsyGdvjaFyIiS/NsYHh5OrVq1yJ8/P1OnTiU4gV3zQgiRECt7exat+p3L4fbMOgwXHkQQ8TaK88FRqVouoala3LRUBlGxSBEOT5vG9jFjKJo7N3FxUZSzC6dDqXCym0dhYqj4dxOmDZXzROK9dZOUbWjIp5tene2MMDVUJvl8Z7KzY1Tv3txbsID5TZpQPjISduzg8u7dHNy/P810URHie5bkvxabNm0iODiYvn378ueff+Lg4ECdOnXYuHEjsbEJT44SQnwfVCoVAQEB7N27l4CAgAQTBVdXV+YsW81L2+oM2GNClUXhNFzylP03jZncwS3drIKmpdHd7ykUCuqXLctv/fuT19aCZsX1iI9Xce/Zcy7fv8/LN29QKEnyJkzxdZre9GqSOTO9O3ak7k8/wZ07rPD0xLVmTX4oWZLNGzbIBx4hdChZyyw2NjYMGDCAwMBATp06hZOTE+3bt8fOzo6BAwdy8+ZNTccphEjj/P39aVz/Z9zaN2XUgE64tW9K4/o/4+/v/9ltXV1d8du5l6W+2xk/cxkVSlXm0sMnDFy8mINnz+og+qRJbC9qXa1Iv3zzBjMjfWoXz00uW1v09ZRExcRy68kTrj18SDbz2DTVszq901qPcBMTyJePWX37srt3b0zevKFZq1YUcXTk9JEjGohcCJFUKdoc+PjxY/bt28e+ffvQ09Ojbt26XL58mSJFijBjxgwGDhyoqTiFEGmYv78/w9zdqGwfzpT2NjhmNeLWs2h8Dl9gmLsbnt5LcXV1/eg+SqXy3Yjh0qWp36IFw/fto8+AAbiOH0/3SpVY5uGRJms7E9uLWqVWM2/bZp1szHvfs/pOaBzOdtbYWlry5NVLnr56xduoaM49eMKzMANCw8O1Gsf3Qts9whVGRvz888/8XKMGJ06cwGv3bnKePQumppx49Yqi5cphYWGR0qchhEiEJP9Vio2NZdOmTdSvX588efLw559/MnDgQB4/fsyqVavYt28fa9asYeLEidqIVwiRxqhUKry9plPZPhyv1vY45zLB1EiJcy4TvFrbU9k+HG+v6d9cbS1RqxZHzp9n1ZQplM6XD27cIDIkhNi4uCTHo81V3sRclr/24A6Dls9L0XTElPi0Z7WeUol9Zhuc8+TB1tKC7VfgWXgsbWfNoo2XF7ceP9ZqPBldqvUI19fnh0qV2DhxIjnMzIjfv59mzZuT296eMR4ePH/+PGWPL4T4piQnzjly5KB79+7kyZOHU6dOcebMGXr27PnRp93atWtjbW2tyTiFEGlUYGAgj+5ep3MVm4QTycqZeXT3OoGBgd98LIWhIR1GjsRt3jwoW5bRa9ZQuk8fjpw7l6hYUqPu+FuX5fPZ6PPq7dsUbxRLiS/1rL76JJ55R/W48iIrFQo7A7D+8GEK9e5N3yVLePrypdZiyshSvUe4nh5ky4Ze4cKcGD2aziVLMmfBAnLnzEnfLl2IiozUzHGEEJ9J8m/xnDlzePToEQsXLqRkyZIJ3iZTpkzcuXMnpbEJIdKBkJAQUMXgmPXzS9QATtmMQRXz7naJZWUFVavSdvBgTM3NqTJ2LB2nTftqYpfYuuOU+vCyfEJ2XI7AUE9Fh/LmGtkollwfDd3wjaLKvJd08Y0iKNyB2d374T9lCgFz5lDLxYW4+HgW7tqFo5sb49atIywiQquxZURfO99aa/2nUJCrQAFmDxnC/TlzGFm9OndPncLo0CF48IAb165p/phCfOeSXON88OBBGjdujLGx8Udff/v2Lf369eO3337TWHBCiLTP1tYWlIbcehaNcy6Tz74f9DQKlIbvbpcUCgWl6tXjWI0a+EybxrBZs9jq5sb12bPJljPnRzdNbN1xNWfnFK/6/f+y/F28Ght+lByrVGr+OPsGI30lxexME7z/u41ib1JlY963elaXcnRk74QJ+J8/z/DVqzl98yYTfX1ZtGsXo1u0oGedOhgZJLyyLj6nyx7hmXPmZEyfPvDmDVy9yrG9e6no7U2dqlUZPm4clatVQ/HJwCEhRNIl+bd51apVRCZwGSgyMpLVq1drJCghRPrh4uKCnUNBfA6HJlzfeeQFdg4FcXFxSdbjK42M6Dp+PNfPn2d2v35ki4tDfesW527c+O82mm4H9tV4vnFZ/lqoCSbGZtwOSbg2W9vTEROK92s9q1UqFVZmZkxs0wbPTp3Ib2dHSFgY7r/+SqFevVhz8CDx8fGpEmtGoKke4clmbg5OTpQtU4a17drx8MYNqrq6UsHFhT3bt6duLEJkQIn+jQ4LC+P169eo1WrCw8MJCwv779/Lly/ZtWsXWbNm1WasQog0SKlU4u4xnCPBFnisD+bC/QgiolVcuB+Bx/pgjgRb4u4xPMUJhE2+fHTx9IRGjfALDsbFw4Munp48f/VKe+3AvuBrl+Xn9ehHvhx5tb9RTAM+rAkfvXIef/y9k4I5sjCwYUNyZM7M3WfP6DBnDi7u7uw8fVoGcKQjBpaWtG3RgvNz57KzVy8MwsI45uMDFy/y9vlzYmJidB2iEOlSoks1rK2tUSgUKBQKChQo8Nn3FQoFEyZM0GhwQoj0wdXVFU/vpXh7TafL2uugeglKQ+wciuPpPfyzVnTJplBA7tw0nDiRxYaGjPT2ZoubGz1r1ACFntbagSXka5fllUolw3wW4eEXSqfyFjhlMSDoeSwrT4Zz5J4Jnp21Px3xW/YHBtJ/2XwK2UQypJo59Ypac+dFHD4n7nHk0jN+7duXC3fvMn3TJi7eu0f9SZOoXKQInp068WOhQjqNXSSewtiYunXqULdmTeIePYI9e/A8ehSfkycZNGAAnXr21HWIQqQrCnUilxAOHTqEWq3G1dWVTZs2kTlz5v++Z2hoSJ48ebCzs9NaoMkVFhaGlZUVISEh2NjY6DqcDC02NpZdu3ZRt25dDKQuUuvS4vlWqVQEBgYSEhKCra0tLi4uWk0Qn9+8yfD+/fltzx7K5MpOZaeoj2qc38WkxsMvlKBwB/xGj09WPHFxcZw5c4YyZcqgr5+49Qb/8+fx3rpJJ32cv2X/uXN09p6JoeINmUyUoFBgZ2WAe7VMVMtv8tH5evX2LdM3bmT+zp1E/btK2ah8eaa2b0+R3Lm1El9yzrdIpPh4rpw/z4zt2/n93DksTE2p7erK7MWLyZEjh66jy/DS4vt2RhUaGoqtrS2vX7/GUoOLJol+R6patSoAd+7cIXfu3LLJQAjxmf+GmqSSLPnzs2LXLnpt387LU6cYuWoJfTY8onulzBTKZqTTVV5dbhT7Gv/z5xm0fB6ued/Qp7IexbIpuRWqxudUDMO2PsezURY6lbegi++7mvDSTk7M6NyZ/g0aMMHXl9/272fryZNsP32ajtWrM6FNG3JlyaLT5ySSQE+PIqVKsbJkSSbevMmsLVtYtnMnPTdsIEerVsTZ2KAvCZ0QX5SoxPnChQsUK1YMpVLJ69evuXjx4hdvW7x4cY0FJ4QQ36RQUKZhQ6hdm0hbW9oOH8yWC4/IbG6MqbEZdrYOeHbWzSrv+41i2qJSqZKUmH/YfaTXDwoKZ1eip1DgnEOBVwMFHtvj8f77Jes6Zv+sJjynrS3L+/ZlYMOG9F26lIMXL+Jz4AC/HzpEv/r1GdG8OTaptOFRaIBSSe6CBZnl4UGTvXupGB2NeuNGqi1ejEPBggwbNw5nHV8ZESItSlTiXLJkSZ48eULWrFkpWbIkCoUiwU0iCoVCdl8LIXTDyIiG7u7cqFWL7p07s/PUKYplt2LsL60pU7iwrqPTuOSUgrzvPjKqmTlKZTTRcWpMDd5dPVQqFXQqq6TLH7HsuByRYE34+2OGhT+heE4LXryN4nl4LLP8/Pj1r78Y2qQJAxo2xOyTdqUibTO2sYECBVC9fUuLAgWY9fff/L5lC3WrVWP4uHFUqlpVrjIL8a9EXTO8c+cOWf69FHfnzh1u377NnTt3Pvt3W8sN/YUQ4ltyFCnCjhMnOOzrCwYGLN64EZ4/hwzUESK5w17edx8pZmeKgb4BoW9UfHhWnGwVoH7Xi/rTzh+fHvP4wCzs7JmNrj+YkdVCn9dv3zJq7Vqc3NxYsnt3kkelC93Ts7Kif5cuBM2fz+o2bbh37RpNGzYk6sIFkC4cQgCJXHHOkydPgv8thBBpkkJB5ZYtOVu3LlGBgXD9Ous2bCDG0pIOP/+s8zrjlEjJsJf3Uw9vh8SRJ1MmHoY85+HLOGzMlBgZKLj4WMXLSBURoSYs6Pn/mvAvHbO4nTHzf8mOoUEoR+9bERIeyd1nz+i1eDGzt25lcrt2/FKxoqxWpjMGlpa0b9WKto0acefyZUz27+fJsWPUmz+fAYMG0bpjR9nYJr5byRqAsnPnzv/+f+jQoVhbW1OhQgXu3bun0eCEECIlDCwssKhSBZo25Vh4OJ2XLKHKoEGcv3lT16F9k0qlIiAoiL1nzxIQFIRKpQJSNuzl/1MPwzE3MiGnbRaiVIbcfanm6pM4Fv4TT4zanHk9+n1U7vGtY3Yub4E6PoL1Hh7M69GDLFZW3Hz0iJYzZlBu8GAOaGjc+dd86XyJ5FOamOBYpgzkzcvb58+xAzp2745jrlzM9fTk7du3ug5RiFSX5D4/U6dOZfHixQAcP36cBQsW4O3tzY4dOxg4cCCbN2/WeJBCCJEiNjYs8POj2bp19Bk+nFIeHvT96Semu7lhYvR532dd+1r9cmx8fCKGvSQ80vv91MMPe0w7ZsnOpeC3rD71lsBnJvi496dGyZIf3S9xA2be8Doign7169PJ1ZXZW7fi5efHmaAgaowZQ82SJZnesSOlHB2TvKkxJedL163/kkvT5yhFDAxwdHFhe/HiXDp3jhnbtzN45EgC/v6b1b//Dh+0pxUio0ty4vzgwQOc/t0l7ufnR/PmzenRowcVK1akWrVqmo5PCCE0Q6mkert2nGvYEO9Ro9jz118Y3r4NefKAqamuo/vP+1riynkimVLTAkdbA26FxOJz4l39ctfajUGhn+xhL++nHnpv3UQX3w8TzfzM7ZFwovm+xCOxx7QwNWVc69b0qlOHKX/+yeLdu/nr3Dn+OneOqsWKoa+I51V4iEaS3G+dL8/OvdNd8pxmPwjo6VGsdGlWu7gw6fp1YkND4c8/8Xv+nIP37jFo1CjyODjoLj4hUkGSP76am5sTGhoKwL59+6hRowYAxsbGREZGajY6IYTQMENLS4bOn8+BI0fQK1GC48ePU33wYC7fuaPr0D6rJXa2M8LUUPlv/bINlfNEsvP0cXLY2KVopLdriRL4jR7P0v4jmNJ5AEv7j8Bv9PgvJmUflngk5ZhZra2Z27071xctot2/Cyvngi6RVf8qU2pHcKCPRaI2NabkfHlv3ZSuyjaSu/EzVSmV5ClcGKeKFcHEhNALF1izbh1OTk50aN6cSxcu6DpCIbQmyYlzzZo16datG926dePGjRvUq1cPgMuXL+MgnzSFEOmEIksWqFkT1Y8/8ujNG0oOHIjHwoWER0ToLKbE1C8/DgmmXtkfOXLv3YS/C8HRRMSouBAcjYdfKEfumeDe6NvDXt73mK5dqhSlnZy+evv3JR7JPWbe7NlZ5e5OtaIFaeysj3tlsDF+y63HD8hs/IbpDa2TleSmpN47LUp3HwQUCsiUia7t23N//nxm1q/PwQMHcC5Rgp0rVoC0pxUZUJIT54ULF/Ljjz/y/PlzNm3a9N8Y64CAAFq3bq3xAIUQQmuUSiq2bMmFK1eY6ObGIn9/CvXowemvDHnSpsTVEseRN3t2PDv3JijcgS6+UVSZ95IuvlEEhTtorTThfYlHco8ZePs24W9fMLhGDgrntMfM2AiVSs3jFy+58uA+9YuoCX7+MElJbmLPV0L13mlRev4gYJ4lC+5du3JrwQJWt23LTy9ewNateA0bxo4tW9JOsi9ECiW5xtna2poFCxZ89vUJEyZoJCAhhEhtRtbWjFi0iDbdujF+2DCc1Gp48IA3mTJhbm6eanEkpZa4tJNTqo/0TskY8Q+TXFNDJYVy5uTV27cEh4YSFROLofo1z18rWXf4MMVy5UpUPEmtvU7rErsJMy1/EDC0tKR9y5YQHU38w4fs3LSJITNmUCx/foYOG0arDh2klZ1I15L1Dvvq1StmzZpFt27d6N69O7Nnz+b169eajk0IIVJVnlKl8Nm7l0wtWvAEyNu9O8OXLOFtVFSqHD+ptcRJKbfQlOQe88MkF0CBgkxm5hTNnZs8WbPw+I2SqFgVs/38KD1oEEdu3EhwQu2Hklt7nVZ9eo5UKjUB96PYe/UtAfejuPEsJv18EDAyQi9vXvw9PTk8aBB59PXp0K0bhfLmJfLZM11HJ0SyJfld9syZMzg6OjJnzhxevHhBSEgIc+bMwdHRkbNnz2ojRiGESD1KJeTPj3WrVvRr04a5f/2Fc69eHLp06ZuJXMoPnbJa4rTsS0muAgU25pYcu29Bdhs7rM3MuPzgAUM3bqTaqFEcvXLli4+Z0c7Xh+do/7W3NF7+CDffJ4za9gy39U9o+dsTDA0t080HAQCFoSGVq1Vjx9SpXBg7lkFlymCyYwex//yD18SJ/zUbECK9UKiT+JegcuXKODk5sXz5cvT131V6xMXF0a1bN27fvs3hw4e1EmhyhYWFYWVlRUhIyH/12EI7YmNj2bVrF3Xr1pVLcalAznfquH3qFP369GHXmTMMqVGDGX36gJ6eVo+ZlHZkaarf7zd82DquU3kLnLIYEPQ8lpUnwzlyzwTPzr0p5ejItI0bmbttG9H/ju2uX7Ys0zp0oNgXJtem2fZtyeB//jy9Fs0hOuoVDYpA1x+U5LSEwGAVawIg4Ik183sO1NjziouL48yZM5QpU+a/v+lapVJBaCinz52jypIl6Onp0b1DBwaNHk2uRJbopGfyvp16QkNDsbW15fXr11hq8CpNkhNnExMTAgMDKVSo0Edfv3LlCmXKlCFChzvSEyKJc+qRN4TUJec79cRGReE5cCD17O1xMTQkSKHALm9eTLU4PCUxCXF6TBgTE3NcXBy7Dx5k27Vr+Bw4QLxKhUKhoH21akxs25Y8WbN+9rjp6QPE16hUKqoMG0x+y3sMrqZ+d1lYocBA34AsltZM3BtJULgDfqPHa+T5pXri/J5azbP795nv58fC48cJj45mVP/+jPfyenfVJ4OS9+3Uo63EOcm/JZaWlty/f/+zxPnBgwdYWFhoLDAhhEgz9PRw/vlnilWtivryZVq2bk3omzfM7daNhpUqoVAovv0YSfS+lvhL0uvgj8RuMMxiYcHiXr3waNKE0WvXsvHYMVYfPIjvkSP0qVePkb/88lGt77fOV3oRePs2UdFhDKyRnbw2EBcfj76eHqZGRihQ0Km8Pl1833XWSNfPV6Ega548TBowgKGtWrF8+3Zyv3oFu3Zx09SUEENDfqxUSddRCvGZJH+sa9myJV27dmXDhg08ePCAhw8f4uvrS7du3aQdnRAiYzMzQ1GxIr6+vhTKm5fGM2fSYNQobgcHp2oY6a7f7yeSssGwYM6c/Dl8OKdmzcK1eHFi4uKYs3Urjj16MHnDBt5ksMFb7ztrONkaYmZkjJWpGWZGxih49+EsvbXYSwyLbNkY1K0bzWvXhqAglk2eTIXKlalarhy7tm3T+t4CIZIiyYmzl5cXTZs2pUOHDjg4OJAnTx46depE8+bN8fT01EaMQgiRpuSvUIHdJ0+yae5cLjx+TM1Ro4hPxU1O6bnfb3KVzZ+f/ZMmsXfCBFzy5SMsIoIxv/+Ok5sbi3btIvbfeuj07tPOGp9Kby32ksTUFBwd8ezZky3duhH99Cn1GjWiZKFCnD56VNfRCQEkMXGOj4/n+PHjjBs3jpcvX3Lu3DkCAwN58eIFc+bMwUiL9X5CCJGWKPT1adq/P1evXGGjlxd6kZE8PH2aXcePa/3YGW3wR2IpFApqubhwZvZs1nt44Jg9O09fvaLPkiUU7t2b9YcOpdlV9sTKaC32kkNpYkLjhg05Pns2f7u7k0tPj6ynT0NgIOePH09ze6nE9yVJibOenh61a9fm9evXmJqa4uzsTPHixTE1NdVWfEIIkaaZZc2KS+fO0Lgxq+7cod60aTQZM4Z7T55o7ZjpYVVSpVIREBTE3rNnCQgK0mhCq1QqaVWlClcWLmSBmxtZray49eQJbWbNosygQew9ezbdXt7PaC32UkJhaEhVV1d2TJ1KHjMzVPv20ahBA/LY2zN51Chevnyp6xDFdyjJv3nOzs7czkCX/4QQQiNy5GDkb7+xYdYsTt27R+E+fZi6Zg3RsQkntymR1lcl/c+fp/Hk8bjNm8Yon7m4zZtG48nj8T9/XqPHMTQwoE+9etxatoxJbdtiYWJC4O3b/Dx+PDXGjOHUjRsaPV5qSel48wxHTw9y5EBZqBD+Q4bQonBhpsycSS57ewb36kVkBqtzF2lbkhPnKVOm4OHhwY4dO3j8+DFhYWEf/RNCiIxGpVIRFBTEvn37CAgI+OLqqcLAgBaDBnHtyhX6NGvGlK1buXPqFERHazSetLwq+b7bh5PFXXxaG3O4fyZ8WhvjZPGu24emk2cAcxMTRrdsye3lyxnYqBGG+vr4X7hAeQ8Pfpk+nRupvHlTE1xLlMBv9HiW9h/BlM4DWNp/BH6jx39/SfOHlEryFSnCwuHDuTd7Nu4VKnB6/36MDh+G4GAe3L+v6wjFdyDJfZw/fCP+sAWTWq1GoVAQHx+vueg0QPo4px7pT5m65HynDn9/f2bPnMada+cwMdQDPSPsHAri7jEcV1fXr9435OJFbG7fJubaNYbu3cuQtm3JmUAP4mTHlsb6OKtUKhpPHo+TxV28Gtt8tHExXqXCfdNzzj7Ngnf33l/tppHS3sL3nj1j7O+/s+bvv1Gr1egplXStWZNxrVphl4S/AxmlN/TX6KyPs4aoX79G8ewZ554+pdTMmTSuVYthY8dSvkIFXYeWIHnfTj1ppo/zwYMHNXZwIYRIy/z9/Rnm7kYl+3BGtDamRD5b7jyPwefwBYa5u+HpvfSrybOtszMULsxNtZo/pk1jxT//MK5pUwb88guGGvijmdieyKnlfbePKTU/7vYRFhnB01cvcc0Xw5bzd+gwazL57R20luDnyZqVVQMH4tGkCSPXrGHH6dMs27uXNQcPMqBBA4Y1a4a1uflXHyOtfSgRCVNYWYGVFYWzZmV5ixbMPHiQHypWpGq5coyeMIEaP/+s6xBFBpPkFef0RlacU498kk5dcr61S6VS0bj+zzipLzCjlR1vwsOwtLJCqVCgUqnxWB9MkKI4fjv2JCpRff3wIeMHDmT+5s0UyJKFZX37UimDJWB7z55llM9cDvfPhKnhu3MSFhnBw5DnWBiqMDFUUHuZmu4VM3HjWdx/Y7Y/TUQ1vQp69MoVhq1cybFr1wDIZG7OiObN6VuvHiZGRp+tLL9884YRKxdTOU8knX/4cLhM+BdjTq/S+4rzp1SRkWzdt49p+/ZRuXhxZs2YQZSdHfrm5mni+cn7dupJMyvOAK9evWLFihVcvXoVhUJBkSJF6NKlC1ZWVhoLTAghdCkwMJBHd68zpb1Nwr2SK2emy9rrBAYGUrp06W8+nlXOnMz580867dtHnwEDeHbzJmTNCtmypbsRw18qYfiw24eznRFq1Dx99RILQxU5M+lz8ZEKhQLK5jamRwUjPPxC8d66iWrOzlpdJa9UpAhHPT3ZfuoUI1av5sqDBwxduZJ5O3bQqlIlrj24w+PQR6COQ40ez8KjaVRUhVfj7P/97N8NlzFMtZhF8ihNTGjSqBGN69QhJjgYdu9m7unTLD16FI/Bg+ncsycmJia6DlOkY0n+rT9z5gyOjo7MmTOHFy9eEBISwuzZs3F0dOTs2bPaiFEIIVJdSEgIqGJwzJpwf3qnbMaginl3uyQoUasWR86fp4mHBxga0n7iRGb7+qabAR5f65jxabePiOhoYuNisTFXolapWXlahZ2VAS45jVJ9UItCoaBh+fJcmDcPnwEDyGVry8OQEJbv8cOai8xtrOJQf2uGVtfDUPGGGk7RvIn+uFtDRh0ukxEpDA0xypsXHB35OX9+ytna0m/wYPLY2zNl9GhpZSeSLcmJ88CBA2nYsCF3795l8+bNbNmyhTt37lC/fn3c3d21EKIQQqQ+W1tbUBpy61nCHTGCnkaB0vDd7ZJIYWiIwtmZuIYNscqdmyHr11OqTx8OnzuXwqi161sdM/6+ePGjbh/nHkYRGaPi+jM1HtvjOXJHiXu1TP+t4upiUIuenh6dfvqJa4sWUTy3HfWLQL+KKozUodx/9ghDvTgymSgpklXF01cvUfNxNeOnMWuzX7XQAD09SpQrh++ECdyYOpWmBQowydOT07/9Bs+fy89LJFmSSzXOnDnD8uXLP6oV0tfXZ+jQoZQpU0ajwQkhhK64uLhg51AQn8Pvapw/pFKpWXnkBXYOxXFxcUn2MfQzZ2bB5s102bWL3gMHUnXsWLpVqsQyDw8UaawMQKVS4b11E5XzRH7UMePTEga/0ePx7Nwb762b6LXxLmFvwcpYTR4bQzwbZcK14P8HZulyUMvVhw8xUMYyuKY9WU0jePrqFW+jonnzNpq4eAUvI5VYGMcSER2NmZFxgjHLBsJ0RKnEsWhRlhQpwsR798gSFQUbN1LPxwd7R0eGjBtHwUKFdB2lSAeS/M5saWnJ/QR6JT548AALCwuNBCWEELqmVCpx9xjOkWALhvg+4lJwNBHRKi7cj8BjfTBHgi1x9xie8jpXhYJS9epx7OJFlo8dSyE7OxQ3bhD94gVxaai95/uOGZ1/sEi45vuDEob3PYhXuI8mu60DxexN2Nw1x0dJs64HtbwfW14wqxH2mW0olicPWawsKZgNrE3UrDkTT2xcHJExMQnG/DI8PNX7VQsNUCjI6uCAolAhVObmuGbLxs5duyhcpAjN6tTh9MmTuo5QpHFJfsdv2bIlXbt2ZcOGDTx48ICHDx/i6+tLt27daN26tTZiFEIInXB1dcXTeyk3ccbNN4pqM5/QZe1bghTF8fRe8s0+zkmhNDKi24QJDF66FMqUYcr69ZTt25djFy9q7Bgp8T7RdLRNuBPApyUMSqWSsgUKMLVDZ268sGDothdpalDLp2PLDfX0yZMlK8Xz5Kbbj8bsvwkzDsL+y8+4/vgZAQ8i/ou5f8OmzNu+5b/Vd2c7I0wNlf+uvttQOU8k3ls3SRlAGqe0tmZIjx7cmT+fpb/8wsWAAGq4uvLm3DnQwsRPkTEkuVTDy8sLhUJBhw4diPt3M4uBgQG9evVi+vTpGg9QCCF0ydXVlYoVK7JgwQIKFSpE9uzZcXFx0V6yZ20N1apRPyyMXYMGUXHUKDpXrIinmxtZrK21c8xE+LRjxqe+VHbxfny099ZNdPENBvWbf0saHPDsrLuShv9vZLyLV2PD/1bRjQ0MaVPOnk0XHrHjagx/3YjHQC+MOFU4ttbZ8OzUlUzm5gn2q4b/r7538X23+l7ayUkXT08kgXGmTHRv144uTZtyNTAQc39/Xpw9S6OFC+nr7k7zNm3Q09PTdZgijUhy4mxoaMjcuXOZNm0at27dQq1W4+TkhKmp6bfvLIQQ6ZBSqcTJyYlatWqlTu9VhYJyjRpxslYtlk+ezEhvb7a4uXFp5kzsc+fW/vET8KVEEz4sYXBIsOwirQ1qgf+PLR/mswgPv1A6lbfAKYsBQc9jWXkynIdvrdk0oic3Hj9mztatBD1+zLM3T+gyfz7NfvwRtToWR9uEyxPfrb6/Sdamx+9hWmFapWdqSrGKFSE2lhcXLmAcHk6rDh1wHDWKIR4edOzRA2Nj428/kMjQEp04R0REMGTIEPz8/IiNjaVGjRrMmzcvWTvKhRBCfJueiQk9p0yhWadO/DF/Pvbx8ahv3+aaQkHhvHlTNZZvJZrvBoN8uexCqVR+dfX1w4TR2swMVSrM5krMangNFxd6/vwzG48dY9SaNQQ9fsySPXvIYakk4J6SSvkzoeDjVefkbnqUzYZphIEBTqVL81eJEgScPo3nzp30cnfn7x07WP/HH++uConvVqIT53HjxrFy5Uratm2LsbEx69evp1evXvz555/ajE8IIb57WfLnp8/cuXDvHnuWLaPe9Ol0r1yZqd27Y5OKg6e0VXbxecKoh6mBBWOMjamZgq4liZGY1XClUkmLSpVo8sMPrPjrL8avX8+LN69YdPgF1kbh5La1xdLUFAWKb66+f8n7Vn+V80QypeaH0wrfbTbMSNMK0w19fUr/+CN/lC9P0OXLRIeGwp9/si8sjAN37+I+ciQ5cuTQdZQilSU6cd68eTMrVqygVatWALRr146KFSsSHx8vtT9CCKFtCgU4OFBz1CjmxsczZv58Np05w/S2belSr16qXc7XdNlFQglj0PMYlh19xsiVS9BTaj9h/NZq+HsG+vr0rFOH9tWr03/ZMrb8cwCIpWGRxxTKYUS0yoo/zsV8c/X9U4lt9SfTCnVEqcTJ2RnUanjxgvvHj7Nk5068ly6lY4sWDBk7lvwFCug6SpFKEv0b+ODBAypXrvzf/5crVw59fX0ePXqklcCEEEJ8Tt/MjH6enlw/e5Z6FSrQfflyfHx9IRUnD75PNGuXKkVpJ6dkJ3OfJowfdqeYWtecSg5pszuFmbExK/r3Z4X7cAKfZcF9G9RfHk3DZc/YeEFN7/q/JCnZT0qrP6FDCgXY2NCtY0fuz53LxJo12bZtGwULFWLbr79CGnudCu1I9LtdfHw8hoaGH31NX1//v84aQgghUk+2QoVYtW8f//z5J+3q14egIPz27uVleLiuQ0u0byaM5czTdMLY5McfubJoOb8NHEOxfCUJiVDwIPQ13RYsoOu8eTx4/jxRj5PUVn9C96xy5GBYz57c/beVXfWQENi2jSUTJ7J/zx7UqVCjL3Qj0aUaarWaTp06YWT0/zZEUVFR9OzZEzMzs/++tnnzZs1GKIQQImEKBRWaN4eoKMJPn6brhAnorVzJzA4d6PDzzygUim8/RgqktANE4hLGt2k6YVQqldQrW5Z6Zcty5f59Rq1di9+JE/y2fz+/HzpEv/r1GdG8OZm/MiAsua3+hO4ZZ85M93btICoK1d27/L5yJUfHjaN00aIMGzGCpq1aSTlrBpPod7iOHTuSNWtWrKys/vvXrl077OzsPvqaEEKIVGZsjEXlylw8cYIaZcvSafFiqgwcyPmbN7V2SP/z52k8eTxu86YxymcubvOm0Xjy+CRNzPt0CMmn0lvCWCR3braMHMmxGTOoUrQo0bGxeG3ZQr4ePZi+cSMR0dEJ3u//rf7CUak+XqnU9YRFkUjGxigdHTk8Ywb7+vbFKjqaFu3aUThfPt48farr6IQGJXrF2cfHR5txCCGESCG7YsVYd+AA3deto8/w4UxfvZr1AwaAhtuGaqoDxDd7Q596k+juFGmp//GPhQrx99Sp7A4IYPiqVVy8d48Rq1czf8cOxrVqRZeaNdH/YBUypa3+MrK09HNNDIWRETVr1aKmqyunT53iwPnzmO/ejapwYZYcPUqLjh11HaJIIYU6gxfihIWFYWVlRUhICDY2NroOJ0OLjY1l165d1K1bN3WGRHzn5HynnvR4rmPCwnh7+jSZbt1iyz//8MbCgsL58hEaHp6iBESlUtF48nicLO5+1AHi3ffUePiFEhTugN/o8Yl6/A+T8PcJ481nMSz/5yUngy3x7PLtJDwt9z+Oj49n3eHDjPn9d+49ewZAAXt7prRrR7MKFT4qp9HF84iLi+PMmTOUKVMGff0kz0TTqrT8c000lQpCQgi8eJEfFi7E2MiI2tWrM2vRInLlyqXr6DK00NBQbG1tef36NZYavGolibPQmPSYXKRncr5TT7o+18+f07hRI/acPk4WM31sLEzQ1zdOdgISEBSE27xp+LQ2TrAe90JwNF18o1jaf0Six01/sY9zu07f7OP8YeLd+YcPV7/fr9Smjf7H0bGxLNm9m8l//PFfzXbZ/PmZ3qHDR/Gl9gprYhPn1I4rvfxcE02t5tGtW8zZupXFx44RB4zo359xM2e+69YhNE5biXPa+ngphBBCo/wvXiT4zXO6VrTkJ4cIspmHExGnYtf1O8karJG4DX1JGzf9aW9oazMz4l+8oJyz81fv92E7uxkNM3P+UQxHbkVia6bHjIaZGbrtRZrpf2xkYMCAhg3pUqMGs/z88PLz4/TNm/w0Zgy1XFyY3qEDLo6Oie4pnZpSe+U3Q/a1Viiwc3Ji2oAB1C1cmGN375Lz6VPYs4f71taEGBhQqkwZXUcpEiGdvOKEEEIklUqlwttrOpXtw5nfxYnG1YuRL0cWclrFMrOOGZVzRyS5T7K2NvR91Bva0RFlIlbh3rezK5LdgKYrHuPm+4RR257h5vuEpiseUzibQZprZ2dhasr4Nm24tXQpfevVw0Bfn32BgZQaOJDWM2dy6/FjXYf4kfcrv04Wd/Fpbczh/pnwaW2Mk8W7evakbAZNrIze19okc2aG9ehBx7p14do1Fo8ZQ+myZalVqRL+f/0lrezSOEmchRAigwoMDOTR3et0rvJu1U6pp0eOPLkpVKgQ+mamtHTW41zQJbb880+iHzMtdYAICQsjLCKSxUdekscqmnmNYXd3Bb+1VOCUOYYlR18SFhGZJtvZZcuUiflublxbtIg2VasC4HvkCIV696bPkiU8eflSxxF+fUCNV2MbKufRzoCa76avtbk5ODkxqWtXfDt25PmdO/xUqxblihfndBJ+J0XqksRZCCEyqJCQEFDF4Jj141pkhYEBWFqRN7cFClS0nDWLEUuX8jYq6puP+b4DxJF7Jnj4hXIhOJqIGBUXgqPx8AvlyD0T3BulTgeIzObmhLyJxDl7HG4/qrA2juP5mzhM9OMYW1NBhTwqXkVGY21qSkBQEHvPniUgKChNTSLMlz07vw8eTKC3Nz+XKkVcfDyLdu3Cyc2NMWvXEhYRobPYdLXym9HaFH6Lvrk5LZs14+zcuezt0wfLqCgs/vkHLlzg2tmzRH+hjaHQDalxFkKIDEalUhEYGMjNmzd5Gw03n0RRIo/pxzdSwJMYU2yz5aBOtbJ479zJ7//8w59DhlD+G7XFriVK4Nm5N95bN9HFNxjUb/6te3XAs3Mzqjk7ExAUpPWNZKeDgjDSi6dVSchno8BID6LjIfStmkdhcfxcSIHfZTUePr8SGfkyTXdmKJkvH7vHj+fvixcZtmoVp27cYPIff7B4925GtWhB77p1MUrljanaqGdPjG+2KTwZnug2hemJwsiIWrVrU+unn+DZM9R799Jw1izexMczsH9/3AYM0OgmN5E8kjgLIUQG4u/vj7fXdB7dvQ6qGCLevKLF/Bcs7JSHGsX+/0dXpVKz8sgL7PMVZ9GmTQw9c4ZRQ4bgEBcHDx8SZWODsYnJF4/z6Ya+9wny3xcv0njyeK1vJFOpVKw+sA8LIwVlc6nRV6gBBSYGYGcJD15BJhM1SkU8WQyCmdA4c7L7Taemas7OnJg5ky3HjzNyzRquBwczaMUK5m7fzsQ2bWhbtWqqTaLT1UTD776vtb4+2NmhyJaN7X37MnPbNkZNmMCUGTPo3bUro6dOxdTU9NuPI7Qig77qhBDi++Pv788wdzec1BfwaW/O4SE58O2RjfK54um2/DbLDz4nIlrFhfsReKwP5kiwJe4ew1EqleQrV471/v5ka9mSFwoFTt27M+bXX7847Q4+2dDn5PRutTSVNpIF3r7N6zcvMDFQ8uC1PioUxMSriYpVExMP1iYKHr4CfSWMqJUp1epzNUGhUNC0QgUuLVjA8r59sbex4d6zZ3T09qakuzs7Tp9OlQ1kuqxnf39VIyjcgS6+UVSZ95IuvlEEhTukyQ88WqGnR8ESJfh19GjuzJxJt1Kl2LN5M0bHjsHjxzyTiYQ6ISvOQgiRAXzYQcOrtf1/l7d/LGxL4RyGuK+9x6hNT1lyNBqFnhF2DsXx9B6Oq6vr/x9ETw8KFsTExobOJ04w4/ffWXv0KHO7daNhpUrfPn4qthALCQvD1ACymxuy+kwMMxsYgEKNWv2uLW5MvJptV+Kwt9KndK6PV0vf1+d28X1Xn5vW2r+9p6+nR7datWhbtSrzd+xg2saNXLp3jwaTJlGpSBE8O3akQuHCWju+rld+v3RVI8OuNH+JQoG9kxNeHh6oXrxAee4c1w4dwnnaNJrVrcuwceNwKV1a11F+N76zV58QQmRMn3bQ+JC1tSUDGziS3TYTnfuNZumazfjt2PNx0vwBE1tbJq1cyaVDhyjo4ECjGTMYOm8exMd/+fipvJHM1tIShdKAJiXMOXJHyZDt8Vx+DDFxCi4/hmE74tlzDdyrW34WD6SvzgwmRkYMbdaM28uXM7RpU4wNDTl65QoVhw2j0eTJXL5/X2vH1vXK76dXNb67pPkTysyZoWBB8jg5MbdRI07+8w+lypTh5ypVOHzwoK7D+y7IirMQQmQAX+qg8V7+7MYY6kP+/PkpncjVqfwVKrD75Ek2L1pE7lev4MYN7hsYkDV3bowNDT8+fipvJHtfRnDlyV2mNbRl3qFXdPkjFtQqQEFohBI9JThlTbhOOz12Zshkbo5np070q1+fib6+/LZ/P9tOnWLHmTN0qF6dCW3akDtLFo0fV1Z+0x6TzJnp3akTPZo354/du/Hcv591U6dSJUcOYnPmRM/UVH4+WiJnVQghMgBbW1tQGnLrWcI1yUFPo0Bp+O52SaDQ16dZ//6UHTwYKlak9YIFFHVzY9fx4x8fP5VbiH3YFm/XlUgm1rNhbrNsdK2QiYLZjclsaUt+ewdWnnij837TmpbT1pZlfftyacECmlWogEqlYuWBAxTo2ZPBK1YQqoVVdFn5TZv0zc1p88svnJs3j1l16sCOHSzt04eiTk78tngxMTExug4xw5FXvhBCZAAuLi7YORTE53BowonikRfYORTExcUleQcwM4OKFVnh44ODvT31pk2jyZgx3Hvy5N3xdbCR7MMygm4bohmwJYIVpxSE48TMrn2Z2K5Tmug3rS2FcuZk4/DhnJg5k2rOzkTHxjJ761by9ejBlD/+SFRfbpExKIyMMMufHxwd+cHenoKmpnTt3Zt8uXIxa8oUwsPDdR1ihiGlGkIIkQEolUrcPYYzzN0Nj/XBdKqcGadsxgQ9jWLlkRccCbbE03t4ihPFQlWqsP/MGf6YN49BkydTecgQbnl7Y2Bjo5ONZN8qI/hav+mM0pmhfMGC+E+ezN6zZxm+ejXn79xh9Nq1LNi5k3GtWtG1Zk0M9OXP/XdBX58yP/6IX7lyXDl/npnbtzN83DjyKZU06dEDdebMKBIxzl58mUKdwYeih4WFYWVlRUhICDY2NroOJ0OLjY1l165d1K1bF4NUbtT/PZLznXrS07n+tI8zSkPsHAri7jH8i5sBkyv88WMub93KDyoVz0NDORcTg56REd5bN6Woj3NcXBxnzpyhTJky6Gsg4VOpVN9Nfa5KpcL3yBFGr13LnX/bleW3s2Nyu3Y0r1Dhs+et6XMtvi7Vz7dKxcNbt7CLjUVpbU2L9evJmi8fg0ePJm86LFNKitDQUGxtbXn9+rVGB8fIb4kQQmQgrq6uVKtWjcDAQEJCQrC1tcXFxUUriaJFjhz80LMnBAfz28iRDF+9ml9KlWJBz948f/Mm2YmqSqXi2uPHvAgMJFumTClOdN/X534PlEolbapWpXmFCizbu5dJGzZw89EjWs6YQWknJ6Z36ECNkiV1HaZILUolOfPnB0D98iUlTEzw/vNPlqxaRcuGDRk2bhzF5fWQJJI4CyFEBqNUKhPdOUMj7O0Z+uuv5CpalMFTp1Kkb1/GNW3KgF9+wTCJK/T+588zx28jdx/fwchACQqDNDkiO60zNDCgb/36dHR1Zc62bczcsoWAoCBqjh1LjRIlmN6x43fzYUK8o8iUiVG9ezOwZUt+27YNr0OH+PGHH3h88iSWRYu+m1goviljXqsSQgiRqhQGBrQZOpRrly7RrUEDRm/cyNXjxyEJu/r9z59/N3nQ8i6/tjDgUL+kTR5UqVQEBAWx9+xZAoKC0uRUwNRmYWrK2FatuL1sGQMaNMBAX5/9589TZtAgWs6Ywc1Hj3QdokhlpjY29O3cmZvz5nGoTx8sDxwgfP166lSpwtaNG+X35hskcRZCCKExVjlz4r1xI3dPnKBEhQrEBQUxfOFCHoWEfPV+H00ebGRD0ewGSRqR7X/+PI0nj8dt3jRG+czFbd40Gk8er9Ex3+lZFisrvLt358bixbSvXh2FQsEfR49SfMAAZuzezeMXL3QdokhlBpaWlKlWDXLn5tmtW7x9+JDGv/xCsfz5Wbl0qbSy+wKdJs6HDx+mQYMG2NnZoVAo8PPz++j7arWa8ePHY2dnh4mJCdWqVePy5cu6CVYIIUSi5ShdGurX50ahQvx27BiFevVizoYNxH1h+mBKJg/+t1JtcRef1sYc7p+0lerviUO2bKweOJBz3t7UK1OGuPh4tgQGUqhPH0atWcPrt291HaJIbUZGOJYuzWEvL/7x8CC/sTGde/akbd26kA4ma6Y2nSbOb9++pUSJEixYsCDB78+YMYPZs2ezYMECTp8+Tfbs2alZs6b0IxRCiPTAwIAijRpx/eJFOtSpg8e6dZTq3ZtjFy9+dtPETR78fET2RyvVjW1wtjNK0kr196p43rzsGDsW/0mTKGZvT0R0NFP//JN8PXow28+PKFlt/P4YGFChShW2TpnCpfHjGVG0KPz5J0cXL2bskCE8f/5c1xGmCTpNnOvUqcPkyZNp2rTpZ99Tq9V4e3szatQomjZtSrFixVi1ahURERGsW7dOB9EKIYRIjkx58rBg82ZOb9+Oqbk5ty9ehCdP4INuqMmdPJiSlWoBlYsWZVmHDmwcNowiuXLxIjycwb/9RoGePfHZv5/4L1whEBmYnh5FS5WilKsrKJVcPXCAWfPmkSdXLvp17crdO3d0HaFOpdktlHfu3OHJkyfUqlXrv68ZGRlRtWpVjh07hpubW4L3i46OJjr6/yNnw/5dnYiNjSU2NuE3ZKEZ78+vnOfUIec79ci51gznWrU4dPYsimvXiDt7lj5Tp1I4f356NmqEc+7c5LCx47cT95jZKBMAatSgfjd50OdkODls8uCcOzdxcXH/PebTly9BHUs+G3MSGkvgaKsP6lievnz50f3EO/Hx8SgUCuqXKUP9MmVY8/ffTPD15UFICF3mzcNryxYmtW1Lg7JlZXCGBrz/IJJuPpBYW9O5bVsaVq3Kom3bWLhhA4tXrmT9ggU07tIF0nA/dG29X6fZxPnJv2Ncs2XL9tHXs2XLxr179754v2nTpjFhwoTPvn7w4EFMTU01G6RI0F9//aXrEL4rcr5Tj5xrzVGYmPBUpWL52rUs2bULjzp1qF2wKEv/vo/7xme0K21MPpu33A6NY21AFIduG+JWrShnz5796HGePX5MdKyKSw/DKJr98zKPS49jiY5V8ezhQ86kl2RFBwIDAwEoZmXFmi5d2BQQwKpjx7jy4AHNpk/HOWdOelerRsncuXUcacbw/nynJ3XKleOnQoXYdfo02Y8dIyA4mC3BwVg7OlLE2VnX4X0mIiJCK4+bZiYHKhQKtmzZQuPGjQE4duwYFStW5NGjR+TIkeO/23Xv3p0HDx6wZ8+eBB8noRXnXLly8fjxY5kcqGWxsbH89ddf1KxZM81PV8sI5HynHjnXWqJWc3r7dvoNHcrZ27fpVrkyv7i6Mm/7Fu49uYuhgRKFQp8cNvb0b9iU6gn8cVapVDSbNgkny3t4Ncr8UbmGSqXGY+sLgsLysGnEmAw7LTAl4uPjCQwMxMXFBT09vY++9+rtW7y2bGHejh1E/lvzXLd0aSa3a4dznjy6CDfd+9r5TlciI1E/ekS1hQs5dvcuP5YsyZCRI6nbsGGa+T0LDQ0lR44c38/kwOzZswPvVp4/TJyfPXv22Sr0h4yMjDAyMvrs6wYGBvIHL5XIuU5dcr5Tj5xrzavQrBmn6tZl+eTJPL98mVpmZlTqM4D1R46QI1euRE0OHNi4OcN8FjFk6ws6lbfAKYsBQc9jWXkynKP3TPDs3BxDQ8NUfFbpj56e3mcjoG2trJjeqRP9GzRg4oYN/LpvH7sCAth99iztqlVjYps2OHzl77H4soTOd7piYQEFC3LE05Nd/v5M37uXpi1aUNTJiX+OHMHq3xxOl7T1Xp02PhYkIG/evGTPnv2jS6MxMTEcOnSIChUq6DAyIYQQmqRnYkLPKVMY4+MDpUoxd/Nm5uzYQSZjY0o7OX1zBcu1RAk8O/cmKNyBLr5RVJn3ki6+UQSFO+DZubdMHEwhOxsblvTuzZWFC/mlYkXUajVrDh6kYK9euC9fzvPXr3UdotARpYkJ9evV4+isWRwZNIjGuXNjtXcv6oAAVi9dytsM2N5Qpx933rx5Q1BQ0H//f+fOHc6dO0fmzJnJnTs37u7uTJ06lfz585M/f36mTp2Kqakpbdq00WHUQgghtCJTJnB1pVJoKD6nTlFx9Gi6V67M1O7dsbGy+updXUuUoJqzM4G3bxMSFoatpeU3V6rF51Qq1RfPYQF7e/4YNowzN28yfPVqDpw/z9zt2/lt/348mjRhUKNGmJuY6PgZCJ0wMKBStWpUqlwZnj/n8rp1dPH2ZuDQofTr2ZPegwfz4MEDQkJCsLW1xcXFJd3+buo0cT5z5gzVq1f/7/8HDRoEQMeOHVm5ciVDhw4lMjKS3r178/LlS8qXL8++ffuwsLDQVchCCCG0SaHghyZNmKFWc/f0acYtWsSmM2c4M20aDnnzfvWuSqWS0k5OqRRoxuN//jzeWzfxKCQY1HGg0MfO1h73Rs0+WrUvkz8/+ydN4q/AQIavXs3ZW7cYt24dC3fuZEzLlvSoXRtDKWn6PunpQfbsFMualVvZszN761amzZrFTG8v7GzMsLI0A6Uhdg4FcfcYjqurq64jTjKdpvvVqlVDrVZ/9m/lypXAuw2D48eP5/Hjx0RFRXHo0CGKFSumy5CFEEKkAoWxMX2mTeN6QABD27Qhj0oFd+5w6+FDXYeWIR28eDHJ0xdrurhwetYsfIcMwTF7dp69fk2/Zcso3KcP6w4dkqEz3zOlkjyFCtHo558papeZNi76LG+i4HBPM5b9okee2LO49+yEp6cnAQEB6eq1kj7XyYUQQnwXshcuzNBly1A0bMjBkBAK9OlDX29vXsoEWY1RqdXM27Y5WdMXlUolLStX5uqiRSzq2ZNs1tbcfvKEtrNmUXrgQPYEBCTYX1tkfO+nelZzimVpm1xUK2iDaXw0meKe0qFoKMUtHuA1ZTQ92jWhcf2f8ff313XIiSKJsxBCiLRNoYB8+ag0ZAhe7u6s+ucfCvbowardu9PVSlVadePJEx6Hpmz6ooG+Pr3q1uXWsmVMbtcOS1NTzt25Q50JE3AdPZpTN25o+2mINOazqZ5KPcJUKiLjYshqrqDnD5DdLI62BZ+SOyaAYe5u6SJ5lsRZCCGE1qhUKgICAti7d2+KL8kaWFgwcPZsrp85Q42yZem0eDFL160DmQiYIq8iI0Edh6NtwnXJTlkMQB1HyL+TeL/GzNiYUS1acGvZMgY1aoShvj5/X7xIeQ8Pmk+fzrVPSm1UKhUBQUHsPXuWgKAg+SCUgYSEhX30ulKj5umrl1gYqsmd2RCXXAYY6imwMFAxvaYxlbO9ZNqEMR/N4kiL0nETQSGEEGmZv78/3l7TeXT3OqhiNLYpyK5YMdYdOICbry9l4+IgKIi9T57wQ9myWJmZafAZfB+sTUxAoc+tkFic7T6fgxD0PBYU+tgmYYiEraUls7p2ZUDDhoxbt47VBw+y6dgx/E6coHONGoxv3ZrrDx8majOiSJ9sLS0/el1FREcTGxeLfWYlCuBWCCiUepRyyI65oZKOznHUXXESB3t7Rg4bRtc+fdLkxGdZcRZCCKFx/v7+DHN3w0l9AZ/25hwekgOf9uY4qS9o5pKsUknVNm0wbdGCiB9+oN2yZRTq0YPf9+2TmtokKpA9Ozls7PE5EY5K9fG5U6nUrDwZjp2tPS758iX5sXNnyYLPgAFcmDePhuXKEa9S8eu+feTt3p2uc6eTz/xOojcjivTFJV8+7Gz//7qKi48HtRojfcW719VpFXZWBrjkMgIDQ/LnNMPW3ITC1tYMHD6cPPb2TBwxIs31gpbEWQghhEapVCq8vaZT2T4cr9b2OOcywdRIiXMuE7xa21PZPhxvr+mauSxvbIxp5cqcPXKESiVK0G7BAqoPHszlO3dS/tjfCaVCQf+GTTlyzwQPv1AuBEcTEaPiQnA0Hn6hHLlngnujZinqu1s0d262jh7N0enTqVi4MEri+DHnW9qXDCOLSQTGBiRqM2JGlRFLVpRKJe6Nmv33urr2NJ7IODjzQIXH9niO3FHiXi3Tf3X1Qc/jMDA0YWavXtycOpWWRYqw9rffMDh+HJ4949WrV7p9Qv+SxFkIIYRGBQYG8ujudTpXsUl4s1nlzDy6e53AwECNHTNXyZL8eegQe3/7jUdv3jBq2TIIDdXY42d01Z2dU2X6YsUiRfDu1g3HrJb8UlIftVrNw9BQLt67x/Ow1yiUJGozYkbif/48jSePx23eNEb5zMVt3jQaTx6fIVbdP5zq2WeziharFbRZG8/NUEM8G2XBteC7UoyPrmw4OZG3SBEWDBvGlenTMTx3jrvLlmGXPTudW7bk6pUrOn1OUuMshBBCo0JCQkAVg2PWz+tlAZyyGYPq5bvbaZJSSa3OnbnYpAlhJ0/C3bvs3b6d16am/OLqikKh+PZjfMdSa/piaHg4JgZ61HLORWT0Wx6FviAmLo57z57z9NUrbMwzJ3ozYnrnf/48w3wWUTlPJFNqWuBoa8CtkFh8TrwrWckII+M/fF3tP3eOVQd24ZQlFltzPSJiVAQ9j2XlyXCO3DPBs/MHVzYUCvRtbcHWFttnz5hcuzaz9+5l5R9/0KhmTYaPG8cPFSum+vORxFkIIYRG2dragtKQW8+icc71+QjmoKdRoDR8dzstMLK2Jkvt2vDsGTt27mTB9u0s37OH+X37UihPHq0cM6NIjemL7zeN3Q6Jw9nOkszmFjx//ZrHL18QFRPL4etPefJan7vPnmk1Dl173+f4ff/s91dn3pWsGOLhF/quD7Kzc7odT/3e+9dVaScnyubPj/fWTXTxDQb1m383hTrg2fnLm0LNs2ZlULdu9G3Rgt937GCGvz8LR47kh+XLic+dG6WRUap9ME7fPwkhhBBpjouLC3YOBfE5HJrwZrMjL7BzKIiLi4t2A8malfl+fuxYupTbL19S3N2dEUuWEJnMdlcZsQ5VF95vGvvteBin70Xx17UIHoYZUyRXbrJZW7P9KoS8iaPnokXUGT+ecxm0ZOOzPscfSGz/7PTItUQJ/EaPZ2n/EUzpPICl/UfgN3p8olbWDS0t6dymDZfnz2dBvXqwfTurBwygZKFCrFu5krhUaE0pK85CCCE0SqlU4u4xnGHubnisD6ZT5cw4ZTMm6GkUK4+84EiwJZ7ew1NnFU2ppF6PHvzUvDmew4axcdcuxgUFQb58YPL5aviX+J8/L63TNESpVFLV2QXPjVfYdjEMCyMFekoFlib62Jjpc/tlNmqXysOugAD2nD3LnrNnaVO1KpPatiVf9uy6Dl9jPu1z/Kl3/bPfZMiSlZRe2VCamGBVuDDExlLk6VPsFAradu7MqFGj8Bg8mM49e2ow2k+OrbVHFkII8d1ydXXF03spQYridFn7liozH9Nl7VuCFMXx9F6Soj7OyWGcOTPjli8n8NQpjJ2duR4YSMNRo7j54ME37/u+DtXJ4q7WW6d9D6va/ufP43toDy1KGjC3iSErWioYU0NNLssYjt+Npa1rXbaOHs3VhQtpVbkyAOsOHaJQ7970W7qUZ2mku0JKfdjnOCHJ6Z/93TEwoHzlyuyePp3A0aP5MWtW+nt4sGXmTNDS60RWnIUQQmiFq6sr1apVIzAwkJCQEGxtbXFxcdFpvaa+vT1kz05IWBgXfv2VYv37M7RePUa0b4+p0eebGVOzDvV7WNX++HxmR6GEiOhonLLH81MRJWN3v+XQxUAGNmqEk50d64cMYUjTpoxYvZp9gYEs2LkTnwMHGNy4MYMbN8YyDQ7ISKz/9zm+i1djw4/KNf7fZcIhWf2zvzt6epQsV451Zcow+do1cqnVhG/dqpVDyYqzEEIIrVEqlZQuXZratWtTunTptLHJSU+Piq1bc+XKFYa2a8eMXbso6ubGyYsXP7tpatWhpuaqti59ej4VKDAzMsbK1AwLExM6J3A+Szk6snfCBA5MmkTZ/Pl5GxXFRF9fHHv0YO62bUTHJrxim9Z92udYG/2zvztKJfmKFMGgSBHQ0nmTn4YQQojvkmmWLExauZJLhw5RskAB7CIj4eFDYj/YPJi4OtSUtU77dFXb2c4IU0NlhhwIkpLz6VqiBCe9vPhz2DAK2NsTEhaG+6+/UqhXL9YcPEh8fLy2w9e4D/sca7N/9ndHoQBzc608tJRqCCGE+K7lr1CBLUePws2bhB85QqmePWlfpQpD27b9qA7V2e7zUg5N1KG+X4WdUvPLq9pdfN+twmq7VZy2pfR8KhQKmlesSKPy5fHZv5/xvr7cffaMDnPm4LVlC9M6dKBO6dLpqmd3avXPFpohPxUhhBBCTw8KFUKvcWOa16nD5G3bKObmxpPnz/+tQw1PuLXe+2lnKahDTY1V7bTi/3W9KTufBvr69Pj5Z4KWLmVahw5YmZlx4e5d6k2cSLWRIzlx7Zo2n4bGve8yUbtUKUo7OUnSnIbJT0YIIYT4l2mWLExbs4YL/v7ksben/rRpGKuUWq1DzSjdFRLTEUTTdb2mRkYMb96c28uWMaRJE4wMDDh8+TI/Dh1Kk6lTuZqIrilp3ffQaSU9kVINIYQQ4hOFqlRh/5kz/DFvHnahocSGhOB5/AidfUNQJHLaWWJlhO4KSekI8r6uN6nT474ms4UFMzp3pn+DBoxfvx6fAwfwO3GCbadO0cnVlfGtW5MrSxZNPd1U8z10WklvJHEWQgghEqAwMKDl4MEQHg6BgUz++29CXsXRs25dapUpo7E61PersMN8FuHhF0qn8hY4ZTEg6HksK0+Gc+SeCZ6d0253hfcdQSrniWRKTQscbQ24FRKLz4l3HUES2uSmrbrenLa2/NqvH4MbN2bUmjVsOXGC3/bv5/dDh+hXvz4jmjcns4VFio6RWpJzXoX2pc3fQiGEECKtsLCAKlWYt3gxDvb2jFy3Ds+1a3kUEqKxQ6TX7gop6QiizbrewrlysXnkSI7NmEGVokWJjo3Fa8sW8vXowbQ//yQimWPXU8v31GklvZHEWQghhEiEYj/9xN+BgayZNo3DQUGUGziQ6NBQjT2+a4kS+I0ez9L+I5jSeQBL+4/Ab/T4NJs0Q+r1uU6uHwsV4u+pU9k5dizFHRx4/fYtI9eswcnNjaV79hAbF6eTuL7lW+e1Y3lz7j65y6Jdu6TuOZVJqYYQQgiRSAoDA9oNH06Dtm0J3LQJo7dvefX4MediYqhWqlSKH//9Kmx6kbiOIG902hFEoVBQt0wZfi5VinWHDjHm99+5++wZPRctYvbWrUxp145mFSqkqRZ2XzuvYZERKOJfEPY2hrl+61hpaiJ1z6lIVpyFEEKIJLLKlYtq7u7QqBErrl+n+vjxtJk0SaPlG+lBeuoIolQqaVe9OtcWL2Zu9+5ksbLiRnAwv3h6Um7wYA6koemMXzqvYZERPAx5zpNXMVgZK1jZxipDTphMyyRxFkIIIZIrZ04GLl3KysmT2X/tGoV69WLOhg1ptgRA0zTVlzk1GRkY0L9BA24tXcq4Vq0wNzHhTFAQNcaModbYsZy9dUvXISZ4XtWoefrqJWYG8ey+riCPjSE/5jWWuudUJomzEEIIkQJKIyM6jhrF9YsX6VCnDkPWryfw8GGITXgVNiPRdF/m1GRhasr4Nm24tXQp/erXx0Bfn7/OnaP0wIG0mjmToEePdBZbQuc1JDySS49i8Pobjt5R4l4t03/1z2mhnvx7kfZeyUIIIUQ6lClPHhZs3szto0cpV7kyqqAgJv76K09fvtR1aFqVFjuCJGVoSFZra+b16MG1RYtoW7UqCoWCDUeOULhPH/osWcITHf38Pj2vrgvD6LdFxe2XRng2yoJrQdOPbp+RJkymZbI5UAghhNAUhYLcP/4IsbEE7d7NvEmTmL1vH5NbtqRn48bo6+npOkKt0FZf5uRI7tCQfNmzs3bwYDyaNGHkmjXsDghg0a5drDxwgEGNGjGkaVMsTU2/eH9t+PC8Hr92jYXb/2BqQ3NK2Bt/dtu0VE+ekcmKsxBCCKFpBgYUaNiQ6+fP07JGDfqvXk3Zvn05cfmy1g+tqxHN2uzLnFjvh4Y4WdzFp7Uxh/tnSvLmuZL58rFr3Dj+njqV8gUKEBEdzeQ//iBf9+7M2bqVqJiYVHgm//f+vPauW5f89g6sOvkm3dSTZ0SSOAshhBBaYpMvH0u3bePEli3oGRlx7vRpePoU1Opv3zkZ/M+fp/Hk8bjNm8Yon7m4zZtG48njv4tuC5oeGlK1WDGOz5zJ5hEjKJQzJ6Hh4QxasYKCvXqx6sAB4uPjtfyMPpae68kzEjm7QgghhDYpFJRr1IiTly7RfeRIUCgYOns2i7ds0WjypYnV1vRMG8NYFAoFTX78kYvz57O8b1/sbWy4//w5nebOpaS7O9tPnUKtpQ9BCUmL9eTfG6lxFkIIIVKBnokJlC6NysGBl5s2MdPHh9/272dR376ULVw4RY/96Wrr+8Tx3WqrIR5+oXhv3UQ1Z+evrkiqVKo0UaecHNocxqKvp0e3WrVoW7Uq83fsYNrGjVy6d4+GkydTsXBhPDt2pGKRIil9ComSlurJv0dyloUQQohUpLSxYfnOnfyzcSOxSiXlhw+n9+zZqFNQi6yJ1db0XuaRGsNYTIyMGNqsGbeXL2dYs2YYGxryz9WrVBo+nIaTJ3Pp3r1kP3ZSpIV68u+VnGkhhBAitSkUVGjWjDOXLzNvyBAsjIxQ3LxJfFhYsjbzJW619cutyg5evKiVMo/U3KiYmsNYMpmbM71jR4KWLqV7rVroKZVsP3WK4v3708nbm3vPnqX4GCJtksRZCCGE0BF9MzP6enriuW4dlCjBki1bqDBgAGevX0/S46RktVWlVjNv22aNbap7L7VXsHWxec7exoZlfftyecECmlWogFqtZpW/PwV69mTgr79KT+UMSBJnIYQQQtcyZ4YaNSjZogURajVlhw6lr7c3L8PDE3X3lKy23njyhMehmt1Up6uNirraPFcwZ042Dh/OSS8vqjs7ExMXh/e2beTr3p1Jvr68iYzUynFF6pPEWQghhEgLFAoqtmhBwKVLeA0cyOpjxyjYowdBiUhYU7La+ioyMkVlHp/SdFu4pHItUQK/0eNZ2n8EUzoPYGn/EfiNHp8qHSfKFSjAgcmT2TN+PCXz5iU8MpKx69bh5ObGol27iI2L03oMQrskcRZCCJHuqFQqAgIC2Lt3LwEBAak25CM1GFhYMHDWLK6dPk3vJk3IFx8P9+7x8MmTr94vuaut1iYmGt1Up422cEmly81zCoWC2qVKETBnDusGDyZf9uw8ffWKPkuW4Ny/P/suX85Qr9fvjbSjE0IIka74+/vj7TWdR3evgyoGlIbYORTE3WM4rq6uug5PY+yKFWP8qlVw5w7H162jyvjx9HF1ZULXrliZmSV4n+S0KiuQPTs5bOzxOXEPr8aGHyW7/y/zcEj0pjpttoVLT5RKJa2rVqVZhQos37ePib6+3HryhHFbt7LlwgU8O3WiZsmSKBSKbz+YSDNkxVkIIUS64e/vzzB3N5zUF/Bpb87hITnwaW+Ok/oCw9zd8Pf313WImqVUgqMjpQcMYErv3vx65AiFevTg9337vjh4I6mrrUqFgv4Nm2psU93XNiqqUXMx+A1RsfE8f/36u1h5NTQwoE+9etxatozxrVphamjIuTt3qD1uHDXGjOH0zZu6DlEkgSTOQggh0gWVSoW313Qq24fj1doe51wmmBopcc5lgldreyrbh+PtNT1DJmOGlpYMnT+fqydPUqlECdotWMD8NWtAQ5MHqzs7a2xT3Zc2KoZFRnDjUTALDz3nWVgEczavSVd9olPK3MSEUS1asLFXL/rXr4+hvj7+Fy5QbvBgfpk+nRvBwboOUSSClGoIIYRIFwIDA3l09zpT2tskXDtbOTNd1l4nMDCQ0qVL6yhK7cpVogR/HjrEX6tXUy4+Hm7e5FBoKKVcXLAwNU3RY2tqIt37jYrDfBbh4RdKp/IWZDWP5XhQCDuvxHP+sR4r22UhVyZ9fE6867LxPY2LzmRmxqwuXRjYqBHj1q1jzd9/s/HYMbacOEHXmjUZ16oVdjY2ug5TfIGsOAshhEgXQkJCQBWDY1ajBL/vlM0YVDHvbpeRKZXU7NQJqzZtiPrhB1osWkShHj3YsH//F8s3Ev/QmtlU9/FGxUgqzgnBY3s8T98aM6dpVuoWNUu1LhtplUO2bKwaOJDzc+dSv2xZ4lUqlu3di5ObGyNWreLVmze6DlEkQBJnIYQQ6YKtrS0oDbn1LDrB7wc9jQKl4bvbfQ9MTDCuXJmT/v6UK1qUVvPmUWvYMK6l0tjnb3nfFs69SXuU+mZMbZCVrT3scC34/5Xx1OqykZY5OziwfcwYjkyfToVChYiMiWH6pk3k69GDmZs3Exmd8Otd6IYkzkIIIdIFFxcX7BwK4nM4NOEhH0deYOdQEBcXFx1FqBsOZcqw5ehRdi5bxp0XLxgwbx68eKHrsIB3K9hZrKywMlbSwNnssxIbSHqf6IyqUpEiHPX0ZOuoURTNnZuXb94wdOVKCvTqxYp9+4jTUD27SBlJnIUQQqQLSqUSd4/hHAm2wGN9MBfuRxARreLC/Qg81gdzJNgSd4/hqdqzN81QKqnbvTuXrl5l5Zw5EBnJod272XzoUIrLN1IqJePAvzcKhYKG5ctzfu5cfAYMIJetLQ9DQui2YAHF+/dny/HjOv95fu++w3cXIYQQ6ZWrqyue3ksJUhSny9q3VJn5mC5r3xKkKI6n95IM1cc5OYwzZyZHvXrQpAmbHz6k2axZ1B0xgpsPHugsppSMA/9e6enp0emnn7ixZAmzunQhs4UFVx88oOm0aVQYOpRDly7pOsTvliTOQggh0hVXV1f8duxh6ZrNTJm7kqVrNuO3Y893nzR/JFs25m7ZwtZFi7j67BnF+vdn7IoVOqmXTck48O+dsaEhgxo35vayZYxq0QJTIyNOXL9OtZEjqTdxIhfu3NF1iN8deZUKIYRId5RKJaVLl6Z27dqULl1akq6E6OnRsFcvrly5wtB27Vh/7BjxN29CVFSqh5LcceDiHSszMya3a0fQ0qX0qlMHPaWSXWfOUNLdnfazZ3PnG+PYheZIH2chhBAiAzPNkoVJK1cy5v59DC9c4N6JE3js2sUMNzdyZc2aanFoqk/09yxH5sws6tWLgY0aMeb339lw5Ahr//6bDUeP0qtOHUa3aEEWKytdh5mhyatVCCGE+A4Y5s4NderwsEgRTt6/T5G+fZm8ejXRcXGpFoOm+kR/7/Lb2eE7ZAhnZs+mZsmSxMbFMW/7dvL16MGE9esJj4jQdYgZlrxihRBCiO+Fnh4V27Th6uXLDGjZkinbttF+8WJOyGazdKm0kxP7Jk7kr4kTKe3kxJvISMavX4+jmxvzd+wgJjbhTiYi+SRxFkIIIb4zZtmyMX3tWgL27SNn1qzYhofDo0fES6KVLtUoWZJTXl5sGDoUpxw5eP76Nf2XLaNwnz6sO3Tou5vKqE2SOAshhBDfqcJVqjB8xgwc27UjUk+Pkn36MHXNGqIlgU53lEolLSpV4srChSzu1YvsmTJx+8kT2s6aRemBA9kTECA9oDVAEmchhBDiO6bW04PChVE1aEDtqlUZu2kTxXv2ZP/p07oOTSSDgb4+PevUIWjpUqa0a4elqSnn7tyhzoQJuI4ezcnr13UdYromibMQQgghMMuWDS9fX87t20eOrFmpOWkSg+fNA7nMny6ZGRszskULbi9bxuDGjTEyMODvixf5YcgQmk2bxrWHD3UdYrokibMQQggh/lPsp584GBjI2unTqV2yJNy4QUhwsGw0S6dsLC3x6tKFG0uW0Pmnn1AqlWw+fpyiffvSfcECgkNDdR1iuiKJsxBCCCE+ojAwoO2wYdQaMwbKlaPzwoWU7N2bg2fP6jo0kUy5s2ThtwEDuDhvHo3Kl0elUvHrvn04ubkxbOVKXr55o+sQ0wVJnIUQQgiRMEtLqFqVybNmkcnaGtfx42kzeTKPQ0J0HZlIpiK5c+M3ahT/eHpSuUgRomJimLF5M/m6d8dz0yadjGVPTyRxFkIIIcRXlahViyPnz+MzaRL7r17FpX9/IiV5TtcqFC7MoWnT2DFmDM558vDq7VuGr1qFk5sby/fuJS4+XtchpkmSOAshhBDim5RGRnQaPZrrFy+ycswYTN6+5e3Vqxy9cEHXoYlkUigU1CtblkBvb1YPHEierFl59OIFPRYupFjfvmw6dkxa2H1CEmchhBBCJFqmPHn4ecgQaNiQ327coPLo0XScNo2nL1/qOjSRTHp6erSvXp3rixfj3a0btpaWXA8Opvn06fwwZAgH5cPRfyRxFkIIIUTSKBSQOzd9Fi5k+dix7Lx4kQJubszfuFEu8adjRgYGDGjYkFvLljGmZUvMjI05deMGrqNH8/O4cZy7fVvXIeqcJM5CCCGESBalkRHdJkzg+vnztKpRgwFr1nDM3x+kdV26ZmlqysS2bbm1dCl969VDX0+PvYGBuLi703bWLG4/eaLrEHVGEmchhBBCpIhNvnws3baN6/7+VKlSBfWtW8xcvZrnr17pOjSRAtkyZWK+mxvXFi2idZUqAKw7dIhCvXvTb+nS77I8RxJnIYQQQqScQkH+atWgYUNuFyrE1F27KOjmxhI/P+KlfCNdc8yRg3UeHpydM4faLi7ExsWxYOdOHN3cGLduHWEREboOMdVI4iyEEEIIzTE0xLFBA26cO0eTqlXp9dtv/NC/P6evXtV1ZCKFXBwd2TNhAv6TJ1OuQAHeRkUx0dcXxx49mLttG9HfQYmOJM5CCCGE0Lgs+fOzYtcu/tm4kVilkkOHD8Pz5yDtzdK96sWLc2LmTDYOH04Be3tCwsJw//VXCvXqxZqDBzP0FQZJnIUQQgihHQoFFZo148zly7iPGwcqFRMXLmTFjh2oVCpdRydSQKFQ0KxCBS4vWMCyPn2wy5yZu8+e0WHOHFzc3dl5+nSG7AEtibMQQgghtErfzAz9smVRN2nCXYWCbsuWUdHdnbPXr+s6NJFC+np6dK9dm5tLlzK9Y0eszcy4eO8e9SdNouqIERy/dk3XIWqUJM5CCCGESBUKGxt+272bQ+vX8yY+nrJDh9LX2xtVBr60/70wNTJiWLNm3F6+nKFNm2JsaMiRK1eoMHQojadM4cr9+7oOUSMkcRZCCCFE6lEoqNKqFWcvX8bL3R21SoUyKAj127dSvpEBZDI3x7NTJ24uWUK3WrVQKpVsPXkS5/796TJ3Lg+eP9d1iCkiibMQQgghUp2BhQUDZ89m4caNULw4q7Zto8qgQVwICtJ1aEIDctrasrxvXy4vWEDTH39EpVLhc+AA+Xv2ZPCKFYSGhek6xGSRxFkIIYQQumNjAzVqkK9BA0Kjoijl4YH7vHm8fvtW15EJDSiUMyebRozg+IwZVC1WjOjYWGZv3Uq+Hj2Y8scfvI2K0nWISSKJsxBCCCF0S6mkSuvWnL96lam9e7P88GEK9ejBdVl9zjB+KFSIg1OmsGvcOErkzUtYRASj167Fyc2NJbt3ExsXp+sQE0USZyGEEEKkCYaWlgydP59rJ0/SvnZtHFUquH+fp6Ghug5NaIBCoaBO6dKcnTOHtYMGkTdbNp68fEmvxYsp2rcvfxw9mubr3CVxFkIIIUSakqtkSWZs2IB+o0acff2a3N26MWTRIsK/o9HOGZlSqaRttWpcW7SIeT16kMXKipuPHtFyxgzKeXiw/9w5XYf4RZI4CyGEECLtUSrByYmivXszrkcPFh44QGE3N/7w98+QgzW+R4YGBvSrX59bS5cyvnVrzE1MCAgKoubYsdQcM4aANFiqI4mzEEIIIdIsI2trRi5axNXjxylbpAgtvb2Zs2oVSO/nDMPC1JRxrVtza+lS+jdogIG+PvvPn6fMoEG0nDGDm48e6TrE/0jiLIQQQog0L0/p0mw5epSdy5bRoWZNuHGDk6dPp7uuDOLLslpbM7d7d64vWkS7atVQKBT8cfQoRfr0odeiRTx+8ULXIUriLIQQQoh0Qqmkbvfu2HboQEyFCjSdN4/CPXqw+dAhKd/IQPJmz86aQYMI9PambpkyxMXHs2TPHpzc3Bi1Zo1OWxVK4iyEEEKI9MXUFMNKlTiybx/F8+en2axZ1B0xgpsPHug6MqFBJfLmZefYsRyaOpUfChYkIjqaqX/+Sb4ePZi1ZQtRMTGpHpMkzkIIIYRIl/KVK8f2Y8fYumgRV589o5uXF7x8qeuwhIZVKVaMYzNmsGXkSArnysWL8HA8fHwo0LMnPvv3E5+K9e6SOAshhBAi3VLo69OwVy+uXLnCai8vePuWUwcOsP3oUV2HJjRIoVDQ+IcfuDBvHr/27Yu9jQ0PQkLoMm8exfv3Z+uJE6lSriOJsxBCCCHSPdMsWcjTtCk0acL6O3doOGMGDUaO5E4a6sggUk5fT4+utWpxc8kSZnTqRCZzc648eEDjqVOpNGwYR69c0erxJXEWQgghRMaRPTuzN21i49y5nHv0iCJ9+zLRx0cn9bBCe0yMjBjStCm3ly1jRPPmmBgacuzaNSoPH06DSZO4/PChVo4ribMQQgghMhSFvj7N+vfn2pUruLdqxfKDB4m6fh2io3UdmtAwa3NzpnboQNDSpfSoXRs9pZIdp09TZcIErRxPEmchhBBCZEhm2bIxbc0abpw5g3WxYjy+eJF2kydz78kTXYcmNMzOxoalffpwecECmleooLXjSOIshBBCiAzNxNER6tblToECHLxxg8J9+jB1zRqiY2N1HZrQsII5c/Ln8OH8NXKkVh5fEmchhBBCZHz6+lRo25Zrly/Tu2lTxm7aRPGePTlx8aKuIxNaUCpvXq08riTOQgghhPhuWNjZ4eXry7l9+8iVIwdmoaHw6BGquDhdhybSAUmchRBCCPHdKfbTT+wPCMC5Sxdi9fX5ccAAZq5bR4yUb4ivkMRZCCGEEN8nfX0oWpSYunX5oVw5hm/YQMnevTl49qyuIxNplCTOQgghhPiumeXIwdyNGzm7Zw+ZrK1xHT+eQXPngkql69BEGqOv6wCEEEIIIdKCErVqceT8eVbPnEmmZ8/gxg1eWllhniULBvqSMglJnIUQQggh/qM0MqLT6NHw+jUEBuI2aBBXnzxhUa9eVC5ZUtfhCR2TUg0hhBBCiE9ZWUHVqgybNAkzc3OqjB1Lx2nTePrypa4jEzokibMQQgghREIUCkrXq8exixdZPnYsOy9epHifPrx9/lzXkQkdkcRZCCGEEOIrlEZGdJswgevnz7N06FDM3rwh+sYNTl25ouvQRCqTxFkIIYQQIhFs8uWj8ejR0KgRK2/coPzw4XT19OT5q1e6Dk2kEkmchRBCCCESS6GAPHno5u3NohEj2BwYSEE3N5Zu3Up8fLyuoxNaJomzEEIIIUQS6ZmY0GvqVG6cO0fjKlXouWIF/vv2gUwezNAkcRZCCCGESKYs+fPz2+7dXNyzhxrVqsGtWyz09SX09Wtdhya0QBJnIYQQQoiUUCgoVrs2ikaNuF+0KCO3bKGgmxsrduxAJdMHMxRJnIUQQgghNMHIiNx163I9IIC6FSrQbdkyKrq7c/b6dV1HJjREEmchhBBCCA3KXrgwq/ft49D69YTHxbF93z54/hzUal2HJlJIRm4LIYQQQmiaQkGVVq0IrFcP1aVLcOkSc1as4I1KRenSpXUdnUgmWXEWQgghhNASAwsLjH78EXWTJlyKiWHinj1U9/DgQlCQrkMTySCJsxBCCCGElilsbfl1xw48BwwgNDqaUh4eDJw/X3o/pzOSOAshhBAi1ahUKgICAti7dy8BAQHfV9cJpZKC1atz5sIFpvbuTWh4OHpBQajfvkUt9c/pgtQ4CyGEECJV+Pv74+01nUd3r4MqBpSG2DkUxN1jOK6urroOL9UYWloydP78dxsGz55l4/r1LPznHxb260fRvHl1HZ74CllxFkIIIYTW+fv7M8zdDSf1BXzam3N4SA582pvjpL7AMHc3/P39dR1i6suSBWrWJEuNGjx684aSAwfisXAh4RERuo5MfIEkzkIIIYTQKpVKhbfXdCrbh+PV2h7nXCaYGilxzmWCV2t7KtuH4+01/fsq23hPqaRau3ZcvHqVCT16sMjfn0I9enDlxg1dRyYSIImzEEIIIbQqMDCQR3ev07mKDUql4qPvKZUKOlXOzKO71wkMDNRRhLpnZG3NyMWLuXLsGE2rVsVJpYIHD3jx6pWuQxMfkMRZCCGEEFoVEhICqhgcsxol+H2nbMaginl3u++cQ5kyzPfzw7BxY668eUOurl0ZsXQpb6OidB2aQBJnIYQQQmiZra0tKA259Sw6we8HPY0CpeG72wlQKiF/fvJ168awTp2Ys3cvhXv0YPOhQ9J9Q8ckcRZCCCGEVrm4uGDnUBCfw6GoVB8nfiqVmpVHXmDnUBAXFxcdRZg2GWfOzNhly7jyzz8Uz5+fZrNmMdPHB6T3s85I4iyEEEIIrVIqlbh7DOdIsAUe64O5cD+CiGgVF+5H4LE+mCPBlrh7DEeplLQkIfnKlWP7sWP4LVxIO1dXuHGDc+fOERGd8Aq+0B7p4yyEEEIIrXN1dcXTeyneXtPpsvY6qF7+28e5OJ7e31cf5+RQ6OvTqHdvePuWuIAAGjVpghKY160bDSpV0nV43w1JnIUQQgiRKlxdXalWrRqBgYGEhIRga2uLi4uLrDQnhZkZ+lWqsH/7dvr160fDGTNosHs3c/v0Ia+dna6jy/DklSqEEEKIVKNUKildujS1a9emdOnSkjQnU/4KFdh98iQb584lMDiYVlOmoH7xQtdhZXiy4iyEEEIIkQ4p9PVp1r8/P7dsyeO//0bx4gUXLl0i2NCQOj/8oOvwMiT5mCeEEEIIkY6ZZcuGU8uW0KgRq27epO7UqTQdO5Z7T57oOrQMJ00nzuPHj0ehUHz0L3v27LoOSwghhBAi7bGzw+vPP/H18uLk3bsU7tOHqWvWEB0bq+vIMow0nTgDFC1alMePH//37+LFi7oOSQghhBAiTVIYGNBy8GCuXb5M76ZN8d69m9eXLsG/retUKhUBQUHsPXuWgKAgVCqVVuJIreOktjRf46yvry+rzEIIIYQQSWBhZ4eXry/jrl/H4to1Qs+do92ffxKvp+ZF2HNQx4FCHztbe9wbNcO1RAmNHdv//Hm8t27iUUiwVo+jC2l+xfnmzZvY2dmRN29eWrVqxe3bt3UdkhBCCCFEumBRsCDUq8f6mBhO3blCFr0rzKwbzd/9rPFpbYyTxV2G+SzC//x5jRzP//x5hvkswsniLj6tjTncP5NWjqMraXrFuXz58qxevZoCBQrw9OlTJk+eTIUKFbh8+TI2NjYJ3ic6OproDybphIWFARAbG0us1Pho1fvzK+c5dcj5Tj1yrlOXnO/UI+c6denqfKtUKvacPUX7ija4/xhLyOvX3H0SQd6sWZnZKDMeW18wx28jlQoXTlF7QJVK9e5x8kQws5ENSqUCgGI5DDV6nMSI11JpiEKtVqu/fbO04e3btzg6OjJ06FAGDRqU4G3Gjx/PhAkTPvv6unXrMDU11XaIQgghhBBpSlBQEL8tmM6y1sYUtTMiJiKC5yEhZDcxxcTQkAvPVHTfGMvg2s0olCNHso9z7fFjZu3dxK8tDCia3eCz7196HEv3P1N+nMSICAvjpwULeP36NZaWlhp73DS94vwpMzMznJ2duXnz5hdvM2LEiI+S6rCwMHLlykX16tW/uEotNCM2Npa//vqLmjVrYmDw+S+M0Cw536lHznXqkvOdeuRcpy5dne99+/ZhYqhHiXy2mBopwcoK2+zZISoK3r7FWO8xcfF62NjZUaZ06WQf50VgIEYGSorltMTU8PMVZedcKowMXpI1Z07KuLik5Cl908vnz7XyuOkqcY6Ojubq1atUrlz5i7cxMjLCyMjos68bGBjIm0IqkXOduuR8px4516lLznfqkXOdulL7fGfPnh30jLjzPAbnXCbvvqhQgKkp8QYGPL3xktA34QxaupRM7u5UKl48WcfJ4eDuNAAAPedJREFUlikTKAy4HRqHs93nuditkDhQGJAtUyb09bWbguppqRQkTW8O9PDw4NChQ9y5c4eTJ0/SvHlzwsLC6Nixo65DE0IIIYRIF1xcXLBzKIjP4VBUqo8rdBV6+uy9a0qRIiXJbG1N5dGjGTRvHiSjktclXz7sbO3xORH+2XFUKjUrT4ZjZ2uPS758KXo+upSmE+eHDx/SunVrChYsSNOmTTE0NOTEiRPkyZNH16EJIYQQQqQLSqUSd4/hHAm2wGN9MBfuRxARreLC/Qg81gdzJNiSsdNncfzSJZaPHUuZvHnh+nXCnz0jPj4+acdp1Iwj90zw8AvlQnA0ETEqLgRH4+EXypF7Jrg3aqb1jYHalKZLNXx9fXUdghBCCCFEuufq6oqn91K8vabTZe11UL0EpSF2DsXx9B6Oq6srAN0mTIBXryAwkP7Dh3P+0SMW9u7Nj8WKJe44JUrg2bk33ls30cU3GNRv/u3j7IBn5/TfxzlNJ85CCCGEEEIzXF1dqVatGoGBgYSEhGBra4uLi8vnK8DW1lCtGr1GjqT3oEFUGDmSLhUrMt3NjSzW1t8+TokSVHN2JvD2bULCwrC1tMQlX750vdL8niTOQgghhBDfCaVSSenEdM5QKCjXqBEna9Vi2aRJjJw7l229enFr7lwss2ZN3HGcnDQQcdqS/lN/IYQQQgihFXomJvSaOpUb584xb8AALN++JS4oiMDr13Udmk5I4iyEEEIIIb4qS/78tJ48GRo2ZM3Nm5QeOpSes2YR+vq1rkNLVZI4CyGEEEKIb1MowMGB9jNn4u3hwfpTpyjo5saKHTtQaWnEdVojibMQQgghhEg0fTMz+s+YwfWAAOpWqEC3ZcvYtWsXxMXpOjStk8RZCCGEEEIkWfbChVm9bx8BW7dSz9UVgoLw2bKFV+Hhug5NayRxFkIIIYQQyaNQUKphQxSNGvG4eHEGrF9PQTc3Vu/ZgzoZ0wfTOkmchRBCCCFEyhgbk6N2ba6dPs1PZcrQcdEiqgwcyIWgIF1HplGSOAshhBBCCI2wK1aMdQcOcGDNGkKioljj5wchIboOS2NkAIoQQgghhNAcpRLXdu0437Ah8efPw9WrLFm5Eks7O1rXrIlCodB1hMkmK85CCCGEEELjDC0tMalcGZo04URYGG0XLMDVw4Mrd+/qOrRkk8RZCCGEEEJoT5YsrNy7lz0rVhAcHk4Jd3eGLFpEbDpsXyeJsxBCCCGE0C6lktpdunDx6lXGd+9O0OPH6N+6BZGR6ar7hiTOQgghhBAiVRhZWzNqyRI2792LomhRdu3fT61hw7h+/76uQ0sUSZyFEEIIIUSqUmTLBrVrY1yxIrdfvMB5wABGLlvG26goXYf2VZI4CyGEEEKI1KdU4tqxI5evXmVU587M3rOHwj16cOnGDV1H9kWSOAshhBBCCJ0xzpyZccuXc+Wff6hdrhz54uLg4UPC37zRdWifkcRZCCGEEELoXL5y5Vi+axemjRtzOzKSXF26MHbFCiKjo3Ud2n8kcRZCCCGEEGmDnh4ULEj29u3p17Ilnjt3UsTNje1Hj+o6MkASZyGEEEIIkcaYZsnCpJUrufj33xTIk4eGM2Yw9ddfIT5ep3HJyG0hhBBCCJEmFahYkT2nTrF50SJKxcXBjRtcUanIlz8/xoaGqR6PJM5CCCGEECLNUujr06x/f3jzhvizZ2nUvDlqlYr5bm7U+eGHVI1FSjWEEEIIIUTaZ26OXpUqbPvzT/LY21N36lSajh3L/adPUy0ESZyFEEII8b/27jssimv/H/h7acJSBaSoKGIDIk0wikrARFCJLcYSY43K1WsMlqu55tpjLNFoiEYTRAWvNXYhlotK7CVIQI0QYoGgCYogoYiI7J7fH36ZnyugCy4g8H49zz6Pc+acmc98Fnc+DGdmiWoNJ19fHLt0CTu++goXU1PRd+5ciL//rpZ9c6oGEREREdUqMl1dDPnXvxA4dCjSjh6FLDcXyYmJuK2ri+4dOlTZfnnFmYiIiIhqJePGjfHGqFFA//7Y8Ntv8F+4EEMWLMCfDx5Uyf5YOBMRERFR7dakCb7cuROblyzByevX0Wn27CrZDQtnIiIiIqr1ZLq6GD5zJn67ehUzR4yokn2wcCYiIiKiOsOsWTNMXLasSrbNwpmIiIiISA0snImIiIiI1MDCmYiIiIhIDSyciYiIiIjUwMKZiIiIiEgNLJyJiIiIiNTAwpmIiIiISA0snImIiIiI1MDCmYiIiIhIDSyciYiIiIjUwMKZiIiIiEgNLJyJiIiIiNTAwpmIiIiISA0snImIiIiI1MDCmYiIiIhIDSyciYiIiIjUwMKZiIiIiEgNLJyJiIiIiNTAwpmIiIiISA0snImIiIiI1MDCmYiIiIhIDSyciYiIiIjUwMKZiIiIiEgNOjUdwOtCoVDgyZMnNR1GrfbkyRPo6OigsLAQCoWipsOp85jv6qNurnV1daGtrV2NkRERUXWq94WzEAJ3797F33//XdOh1HpCCNjY2OD27duQyWQ1HU6dx3xXn4rk2szMDDY2NnxPiIjqoHpfOJcUzVZWVpDL5TzZvQKlUon8/HwYGRlBS4uzgKoa81191Mm1EAIFBQXIyMgAANja2lZniEREVA3qdeGsUCikotnCwqKmw6n1lEolioqKoK+vz0KuGjDf1UfdXBsYGAAAMjIyYGVlxWkbRER1TL0+25bMaZbL5TUcCRHVFSWfJ7xngoio7qnXhXMJTs8gIk3h5wkRUd3FwpmIiIiISA0snEljPvroIwwbNkzj27W3t0dISIjGt0tERERUESycqc6JiIiAmZlZTYdBREREdUy9fqqGpiiVSsTHxyMzMxOWlpbw8PDgUw6IiIiI6hhWd68oJiYG/Xv3xPgRAzBr8miMHzEA/Xv3RExMTJXtc/fu3XBxcYGBgQEsLCzQvXt3PHz4EAAQGxsLf39/WFpawtTUFL6+vvjll19UxstkMoSGhqJ3796Qy+VwcnLC+fPncePGDfj5+cHQ0BDe3t64efOmNGb+/Plwd3dHaGgo7OzsIJfLMWjQoBd+cYwQAsuWLYODgwMMDAzg5uaG3bt3v/DYMjIy0KdPHxgYGKBFixbYunVrqT4rV66Ei4sLDA0NYWdnh4kTJyI/Px8AcOLECXz00UfIycmBTCaDTCbD/PnzAQBbtmyBl5cXjI2NYWNjgw8//FB65i4RERHRy7BwfgUxMTH495TxaCWuIHyEEU7NsEX4CCO0Elfw7ynjq6R4Tk9Px9ChQzFmzBgkJSXhxIkTGDBgAIQQAIC8vDyMGjUKp0+fxoULF9C6dWsEBgYiLy9PZTsLFy7EyJEjkZCQAEdHR3z44YcYP348PvvsM1y6dAkAMGnSJJUxN27cwM6dOxEVFYUjR44gISEBH3/8cbmxzp49G+Hh4fjuu+9w7do1TJ06FcOHD8fJkyfLHTN69GikpqYiJiYGu3fvxtq1a0sVt1paWli1ahV+/fVXbNq0CTExMfj0008BAJ07d0ZISAhMTEyQnp6O9PR0TJ8+HQBQVFSEhQsX4vLly9i/fz9SUlIwevRo9RJPREREJOq4nJwcAUBkZmaWWvfo0SORmJgoHj16VOHtKhQK0aeXv5ja01ooNrUXYrOn9FJsai+m9rQWfXr5C4VCoYnDkMTFxQkAIjU1Va3+xcXFwtjYWERFRUltAMTs2bOl5fPnzwsAYsOGDVLb9u3bhb6+vrQ8b948oa2tLW7fvi21HT58WGhpaYn09HQhhBAjR44UgYGBQqFQiPz8fKGvry/OnTunEs/YsWPF0KFDy4w1OTlZABAXLlyQ2pKSkgQA8fXXX5d7jDt37hQWFhbScnh4uDA1NS23f4mff/5ZABB5eXkv7fs6UigUIjs7W+M/Y1RaRXL9Kp8r9FRRUZHYv3+/KCoqqulQ6jzmunox39UnMzNTABA5OTka3S6vOFdSfHw8/kpNxkdvWUBLS/W5rVpaMoz2McdfqcmIj4/X6H7d3NzwzjvvwMXFBYMGDUJYWBiys7Ol9RkZGZgwYQLatGkDU1NTmJqaIj8/H2lpaSrbcXV1lf5tbW0NAHBxcVFpKywsRG5urtTWrFkzNG3aVFr29vaGUqlEcnJyqTgTExNRWFgIf39/GBkZSa///ve/KlNAnpWUlAQdHR14eXlJbY6OjqVu9Pvpp5/g7++PJk2awNjYGCNHjkRWVpY0XaU88fHx6NevH5o3bw5jY2P4+fkBQKncEBEREZWFhXMlZWZmAsoitLRqUOb6Vtb6gLLoaT8N0tbWxtGjR3H48GE4Oztj9erVaNu2LVJSUgA8neoQFxeHkJAQnDt3DgkJCbCwsEBRUZHKdnR1daV/l3xhQ1ltSqWy3FhK+pT1hQ8l4w4ePIiEhATplZiYWO48Z/F/001e9AUSf/zxBwIDA9GuXTvs2bMHcXFxWLNmDYAXf1Pbw4cPERAQACMjI2zZsgWxsbHYt28fAJTKDREREVFZWDhXkqWlJaClh5sZj8tcf+NeIaCl97SfhslkMnTp0gULFixAfHw89PT0pCLw9OnTCA4ORmBgIN544w00aNBAY8V7Wloa/vrrL2n5/Pnz0NLSQps2bUr1dXZ2RoMGDZCWloZWrVqpvOzs7MrcvpOTE4qLi6U51gCQnJyscgPipUuXUFxcjBUrVqBTp05o06aNSkwAoKenB4VCodL222+/ITMzE0uXLoWPjw8cHR15YyARERFVCB9HV0keHh5obN8W4aeu4KuhTVSmayiVAhGnH6CxvSs8PDw0ut+LFy/i+PHjCAgIgJWVFS5evIj79+/DyckJANCqVSts3rwZXl5eyM3NxYwZM2BgYKCRfevr62PUqFH46quvkJubi+DgYAwePBg2Njal+hobG2P69OmYOnUqlEolunbtitzcXJw7dw5GRkYYNWpUqTFt27ZFz549ERQUhHXr1kFHRwdTpkxRib9ly5YoLi7G6tWr0adPH5w9exbff/+9ynbs7e2Rn5+P48ePw83NDXK5HM2aNYOenh5Wr16NCRMm4Ndff8XChQs1khciIiKqH3jFuZK0tLQwZfpMnP7TGNO3/4kraQUoeKzElbQCTN/+J07/aYIp02dq/HnOJiYmOHXqFAIDA9GmTRvMnj0bK1asQK9evQAAGzduRHZ2Njw8PDBixAgEBwfDyspKI/tu1aoVBgwYgMDAQAQEBKBdu3ZYu3Ztuf0XLlyIuXPnYsmSJXByckKPHj0QFRWFFi1alDsmPDwcdnZ28PX1xYABA/CPf/xDJX53d3esXLkSX375Jdq1a4etW7diyZIlKtvo3LkzJkyYgCFDhqBRo0ZYtmwZGjVqhIiICOzatQvOzs5YunQpvvrqq1dPChEREdUbMlEysbSOys3NhampKTIzM2FhYaGyrrCwECkpKWjRogX09fUrtf2YmBiEfLUUf6UmA8oiQEsPje3bYsr0mXj77bc1cQivhfnz52P//v1ISEgot49SqURubi5MTEz4BTDVgPmuPhXJtSY+V+q7J0+e4NChQwgMDFS594I0j7muXsx39cnKyoKlpSVycnJgYmKise1yqsYrevvtt+Hn58dvDiQiIiKq41g4a4CWlhY8PT1rOgwiIiIiqkK8LEpqmT9//gunaRARERHVdSyciYiIiIjUwMKZiIiIiEgNLJyJiIiIiNTAwpmIiIiISA0snImIiIiI1MDCmYiIiIhIDSycayE/Pz9MmTJFWra3t0dISEiNxVOf1LVcR0REwMzMrEJjZDIZ9u/fXyXxEBERvc74BSh1QGxsLAwNDWs6jHqBuSYiIqq/WDjXAY0aNarpEAAAT548Ubufrq5ulcVQVdsGXp9cExERUfXjVI064PnpAzKZDOvXr8d7770HuVyO1q1bIzIyUmVMYmIiAgMDYWRkBGtra4wYMQKZmZnS+iNHjqBr164wMzODhYUFevfujZs3b0rrU1NTIZPJsHPnTvj5+UFfXx9btmwpMz6ZTIbvv/8e/fr1g6GhIb744gsAQFRUFDw9PaGvrw8HBwcsWLAAxcXF0rjffvsNXbt2hb6+PpydnXHs2DGVaQIviiE8PBxOTk7Q19eHo6Mj1q5dK223qKgIkyZNgq2tLfT19WFvb48lS5ZI6+fPn49mzZqhQYMGaNy4MYKDg8vNdVpaGvr16wcjIyOYmJhg8ODBuHfvnsq23N3dsXnzZtjb28PU1BQffPAB8vLyyn0/S6ZP/Pjjj2jbti3kcjkGDhyIhw8fYtOmTbC3t0fDhg0RHBwMhUIhjcvOzsbIkSPRsGFDyOVy9OrVC9evXy+17WbNmkEul+O9995DVlZWqf2/7H0hIiKqr1g4P0cIgYcPH1b7Swih0eNYsGABBg8ejCtXriAwMBDDhg3DgwcPAADp6enw9fWFu7s7Ll26hCNHjuDevXsYPHiwNP7hw4eYNm0aYmNjcfz4cWhpaeG9996DUqlU2c+///1vBAcHIykpCT169Cg3nnnz5qFfv364evUqxowZg//9738YPnw4goODkZiYiNDQUERERGDRokUAAKVSif79+0Mul+PixYtYt24dZs2aVea2n48hLCwMs2bNwqJFi5CUlITFixdjzpw52LRpEwBg1apViIyMxM6dO5GcnIwtW7bA3t4eALB79258/fXXCA0NxfXr17F//364uLiUuV8hBPr3748HDx7g5MmTOHr0KG7evIkhQ4ao9Lt58yb279+PH3/8ET/++CNOnjyJpUuXvuDdAwoKCrBq1Srs2LEDR44cwYkTJzBgwAAcOnQIhw4dwubNmxEWFoYDBw5IY0aPHo1Lly4hMjIS58+fhxACgYGB0l8CLl68iDFjxmDixIlISEhAt27dpF9iSrzsfSEiIqrXRB2Xk5MjAIjMzMxS6x49eiQSExPFo0ePpLb8/HwBoNpf+fn5ah+Tr6+vmDx5srTcvHlz8fXXX0vLAMTs2bNVjkkmk4nDhw8LIYSYM2eOCAgIUNnm7du3BQCRnJxc5j4zMjIEAHH16lUhhBApKSkCgAgJCZH6KBQKkZ2dLRQKhcpYAGLKlCkqbT4+PmLx4sUqbZs3bxa2trZCCCEOHz4sdHR0RHp6urT+6NGjAoDYt29fuTEIIYSdnZ3Ytm2bStvChQuFt7e3EEKITz75RLz99ttCqVSWOs4VK1aINm3aiKKiojLz8Gyuo6Ojhba2tkhLS5PWX7t2TQAQP//8sxBCiHnz5gm5XC5yc3OlPjNmzBAdO3Ysc/tCCBEeHi4AiBs3bkht48ePF3K5XOTl5UltAQEBYvTo0UKhUIjff/9dABBnz56V1mdmZgoDAwOxc+dOIYQQQ4cOFT179lTZ15AhQ4Spqam0/LL3RQih8h7UF+X9bJelrM8VqpiioiKxf//+cv8fkuYw19WL+a4+mZmZAoDIycnR6HZ5xbmOcnV1lf5taGgIY2NjZGRkAADi4uLw008/wcjISHo5OjoCgDQd4+bNm/jwww/h4OAAExMTtGjRAsDTqQnP8vLyUiue5/vFxcXh888/V4khKCgI6enpKCgoQHJyMuzs7GBjYyONefPNN1+67fv37+P27dsYO3asyra/+OIL6dhGjx6NhIQEtG3bFsHBwYiOjpbGDxo0CI8ePYKDgwOCgoKwb9++cqcpJCUlwc7ODnZ2dlKbs7MzzMzMkJSUJLXZ29vD2NhYWra1tZXei/LI5XK0bNlSWra2toa9vT2MjIxU2kqm1yQlJUFHRwcdO3aU1ltYWKBt27ZSLElJSfD29lbZz/PLL3tfiIiI6jPeHPgcuVyO/Pz8GtmvJj1/g5xMJpOmWSiVSvTp0wdffvllqXG2trYAgD59+sDOzg5hYWFo3LgxlEol2rVrh6KiIpX+6j5h4vl+SqUSCxYswIABA0r11dfXhxACMpmswtsuOcawsDCVIhIAtLW1AQDt27dHSkoKDh8+jGPHjmHw4MHo3r07du/eDTs7OyQnJ+Po0aM4duwYJk6ciOXLl+PkyZOlclpejM+3v+i9KE9ZY160HVHOVJ9nYymvz7Ne9r4QERHVZyycnyOTyer848bat2+PPXv2wN7eHjo6pX8EsrKykJSUhNDQUPj4+AAAzpw5o/EYkpOT0apVqzLXOzo6Ii0tDffu3YO1tTWAp4+Cexlra2s0adIEt27dwrBhw8rtZ2JigiFDhmDIkCEYOHAgevbsiQcPHsDc3BwGBgbo27cv+vbti48//hiOjo64evUq2rdvr7INZ2dnpKWl4fbt29JV58TEROTk5MDJyUndVGiEs7MziouLcfHiRXTu3BnA0/fx999/l2JxdnbGhQsXVMY9v/yy94WIiKg+Y+FcD3388ccICwvD0KFDMWPGDFhaWuLGjRvYsWMHwsLC0LBhQ1hYWGDdunWwtbVFWloaZs6cqdEY5s6di969e8POzg6DBg2ClpYWrly5gqtXr+KLL76Av78/WrZsiVGjRmHZsmXIy8uTbg582ZXo+fPnIzg4GCYmJujVqxceP36MS5cuITs7G9OmTcPXX38NW1tbuLu7Q0tLC7t27YKNjQ3MzMwQEREBhUKBjh07Qi6XY/PmzTAwMEDz5s1L7ad79+5wdXXFsGHDEBISguLiYkycOBG+vr5qT2HRlNatW6Nfv34ICgpCaGgojI2NMXPmTDRp0gT9+vUDAAQHB6Nz585YtmwZ+vfvj+joaBw5ckRlOy97X4iIiOozznGuhxo3boyzZ89CoVCgR48eaNeuHSZPngxTU1NoaWlBS0sLO3bsQFxcHNq1a4epU6di+fLlGo2hR48e+PHHH3H06FF06NABnTp1wsqVK6UCVVtbG/v370d+fj46dOiAcePGYfbs2QBePmVg3LhxWL9+PSIiIuDi4gJfX19ERERI87SNjIzw5ZdfwsvLCx06dEBqaioOHToELS0tmJmZISwsDF26dIGrqyuOHz+OqKgoWFhYlNpPyaPxGjZsiLfeegvdu3eHg4MDfvjhB43mSl3h4eHw9PRE79694e3tDSEEDh06JE3x6NSpE9avX4/Vq1fD3d0d0dHRUk5LvOx9ISIiqs9kQp2Jj7VYbm4uTE1NkZmZWar4KSwsREpKClq0aMH5mxqgVCqRm5sLExMTaGlp/neys2fPomvXrrhx44bKjXP1VVXnm/6/iuSanyuv7smTJzh06BACAwOr9AuNiLmubsx39cnKyoKlpSVycnJgYmKise1yqga9tvbt2wcjIyO0bt0aN27cwOTJk9GlSxcWzURERFQjWDjTaysvLw+ffvopbt++DUtLS3Tv3h0rVqyo6bCIiIionmLhTK+tkSNHYuTIkTUdBhEREREA3hxIRERERKQWFs5ERERERGpg4UxEREREpAYWzkREREREamDhTERERESkBhbORERERERqYOFcB6WmpkImkyEhIUHtMRERETAzM6uymEh9Z8+ehYuLC3R1ddG/f3+cOHECMpkMf//9d7ljasv75+fnhylTptR0GK9k/vz5cHd3r+kwiIioBrBwptfeyZMn4enpCX19fTg4OOD7779/6Zi0tDT06dMHhoaGsLS0RHBwMIqKiqT1Jb9cPP86cuRIVR6KWqZNmwZ3d3ekpKQgIiICnTt3Rnp6OkxNTWs6tFe2d+9eLFy4UO3+lfklkIiIqKrwC1DotZaSkoLAwEAEBQVhy5YtOHv2LCZOnIhGjRrh/fffL3OMQqHAu+++i0aNGuHMmTPIysrCqFGjIITA6tWrVfoeO3YMb7zxhrRsbm5epcejjps3b2LChAlo2rSp1GZjY1ODEWlOTeb3yZMn0NXVrbH9ExFR7ccrzrXQkSNH0LVrV5iZmcHCwgK9e/fGzZs3y+1f8qf+gwcPws3NDfr6+ujYsSOuXr1aqu///vc/ODk5wcjICD179kR6erq0LjY2Fv7+/rC0tISpqSl8fX3xyy+/VMkxlvj+++/RrFkzhISEwMnJCePGjcOYMWPw1VdflTsmOjoaiYmJ2LJlCzw8PKSv6g4LC0Nubq5KXwsLC9jY2EgvPT29F8Zz584dfPDBBzA3N4ehoSG8vLxw8eJFaf13332Hli1bQk9PD23btsXmzZtVxstkMqxfvx7vvfce5HI5WrdujcjISAD//+pqVlYWxowZA5lMhoiIiDKnakRERMDe3h6NGzfGgAEDkJWVVSrWqKgolSv1CxYsQHFxsVqxlLh27RreffddmJiYwNjYGD4+Pio/a+Hh4XBycoK+vj4cHR2xdu3aF+bv+aka9vb2WLx4McaMGQNjY2M0a9YM69atk9a3aNECAODh4QGZTAY/Pz+19l2Sy507d8LPzw/6+vpYu3YtDAwMSv1VYe/evTA0NER+fj4A4N///jfatGkDuVwOBwcHzJkzB0+ePHnhcRERUT0h6ricnBwBQGRmZpZa9+jRI5GYmCgePXpUA5FV3u7du8WePXvE77//LuLj40WfPn2Ei4uLUCgUQgghUlJSBAARHx8vhBDip59+EgCEk5OTiI6OFleuXBG9e/cW9vb2oqioSAghRHh4uNDV1RXdu3cXsbGxIi4uTjg5OYkPP/xQ2u/x48fF5s2bRWJiokhMTBRjx44V1tbWIjc3VwghhEKhENnZ2VIcQgixZcsWYWho+MLXli1byj1WHx8fERwcrNK2d+9eoaOjI8X+vDlz5ghXV1eVtgcPHggAIiYmRiVHdnZ2olGjRqJz585i165dL8x7Xl6ecHBwED4+PuL06dPi+vXr4ocffhDnzp2T4tLV1RVr1qwRycnJYsWKFUJbW1vapxBCABBNmzYV27ZtE9evXxfBwcHCyMhIZGVlieLiYpGeni5MTExESEiISE9PFwUFBdL7l52dLYQQ4sKFC0Imk4nFixeL2NhYERISIszMzISpqam0nyNHjggTExMREREhbt68KaKjo4W9vb2YP3++WrEIIcSdO3eEubm5GDBggIiNjRXJycli48aN4rfffhNCCLFu3Tpha2sr9uzZI27duiX27NkjzM3NRURERLk59PX1FZMnT5aWmzdvLszNzcWaNWvE9evXxZIlS4SWlpZISkoSQgjx888/CwDi2LFjIj09XYrtZfsueX/t7e2lPn/++ad4//33xfDhw1Viev/998XQoUOl5YULF4qzZ8+KlJQUERkZKaytrcXSpUuln+158+YJNze3co+xtn6uvE6KiorE/v37y/0/TprDXFcv5rv6ZGZmCgAiJydHo9tl4VzOCe6vv/4ScXFxKq9bt25J455fFxcXJ4397bffSq0rOeFnZGSUWvfXX3+90jFmZGQIAOLq1atCiPIL5x07dkhjsrKyhIGBgfjhhx+EEE8LZwDixo0bUp81a9YIa2vrcvdbXFwsjI2NRVRUlBCi7MI5NzdXXL9+/YWvksK7LK1btxaLFi1SaTt79qwAUG7egoKChL+/f6l2PT09sW3bNiGEEPfv3xcrV64UFy9eFLGxsWLOnDlCS0tLbN68udxYQkNDhbGxsfRePq9z584iKChIpW3QoEEiMDBQWgYgZs+eLS3n5+cLmUwmDh8+LLWZmpqK8PBwafn5wnno0KGiZ8+eKvkeMmSISuHs4+MjFi9erBLL5s2bha2trdqxfPbZZ6JFixblfsDb2dlJ+SyxcOFC4e3tXWZ/IcounJ8tZJVKpbCyshLfffedEKL0z7K6+y4ZFxISotJn7969wsjISDx8+FAI8fTzQV9fXxw8eLDcmJctWyY8PT1ZOFcjFhfVh7muXsx39amqwplznMsRGhqKBQsWqLQNGzYMW7ZswZ07d+Dp6VlqjBACADB69GhcuHBBZd3mzZsxfPhw7Ny5E5MmTVJZN2/ePMyfP1/t2G7evIk5c+bgwoULyMzMhFKpBPD0hrh27dqVO87b21v6t7m5Odq2bYukpCSpTS6Xo2XLltKyra0tMjIypOWMjAzMnTsXMTExuHfvHhQKBQoKCpCWllbuPo2NjWFsbKz2sZVFJpOpLJfk+fn2F40pGVfSbmlpialTp0rrvLy8kJ2djWXLlmH48OFlbjMhIQEeHh7lztNNSkrCP/7xD5W2Ll264JtvvlFpc3V1lf5taGgIY2NjlTy/TFJSEt577z2VNm9vb5UpCHFxcYiNjcWiRYukNoVCgcLCQhQUFEAul780loSEBPj4+JQ5L/j+/fu4ffs2xo4di6CgIKm9uLi4wjcxPhuDTCaDjY3NC/NRkX17eXmpLL/77rvQ0dFBZGQkPvjgA+zZswfGxsYICAiQ+uzevRshISG4ceMG8vPzUVxcDBMTkwodExER1U0snMsxfvx49O3bV6WtYcOGAICmTZsiLi6u3LERERF4+PChSpu9vT0AYPDgwSoFLPC0QK2IPn36wM7ODmFhYWjcuDGUSiXatWun8tQIdT1bYD5fIMlkMqlIBZ7+QnD//n2EhISgefPmaNCgAby9vV+4361bt2L8+PEvjCE0NBTDhg0rc52NjQ3u3r2r0paRkQEdHR1YWFiUO+bZeccAkJ2djSdPnsDa2rrcODp16oT169eXu97AwKDcdSXKKvKfbysrzyW//Kjj2fekPEqlEgsWLMCAAQNKrdPX11crlhcdb0mfsLAwdOzYUWWdtrb2S+N7VkXzUZF9Gxoaqizr6elh4MCB2LZtGz744ANs27YNQ4YMgY7O04/CCxcu4IMPPsCCBQvQo0cPmJqaYseOHVixYkWFjomIiOomFs7lsLW1Lbeg1dfXR/v27csd27Zt23LXNWrUCI0aNap0XFlZWUhKSkJoaCh8fHwAAGfOnFFr7IULF9CsWTMATwvJ33//HY6Ojmrv+/Tp01i7di0CAwMBALdv30ZmZuYLx/Tt27dUcfO8FxWz3t7eiIqKUmmLjo6Gl5dXuU9I8Pb2xqJFi5Ceni69h9HR0WjQoEGZfykoER8f/8JfYlxdXbF+/Xo8ePCgzKvOTk5OOHPmDEaOHCm1nTt3Dk5OTuVuszKcnZ1L/UXj+eX27dsjOTkZrVq1qvR+XF1dsWnTpjKfRmFtbY0mTZrg1q1b5f7SowklN2sqFAqN7XvYsGEICAjAtWvX8NNPP6k8Hu/s2bNo3rw5Zs2aJbX98ccfr3AERERUl7BwrmUaNmwICwsLrFu3Dra2tkhLS8PMmTPVGvv555/DwsIC1tbWmDVrFiwtLdG/f3+1992qVSts3rwZXl5eyM3NxYwZM156FfZVp2pMmDAB3377LaZNm4agoCCcP38eGzZswPbt26U++/btw2effYbffvsNABAQEABnZ2eMGDECy5cvx4MHDzB9+nQEBQVJf3LftGkTdHV14eHhAS0tLURFRWHVqlX48ssvy41l6NChWLx4Mfr3748lS5bA1tYW8fHxaNy4Mby9vTFjxgwMHjwY7du3xzvvvIOoqCjs3bsXx44dq/TxlyU4OBidO3fG8uXL8c477+D8+fOlnhQxd+5c9O7dG3Z2dhg0aBC0tLRw5coVXL16FV988YVa+5k0aRJWr16NDz74AJ999hlMTU1x4cIFvPnmm2jbti3mz5+P4OBgmJiYoFevXnj8+DEuXbqE7OxsTJs2TSPHamVlJT0Jo2nTptDX14epqekr7dvX1xfW1tYYNmwY7O3t0alTJ2ldq1atkJaWhh07dqBDhw44ePAg9u3bp5FjISKi2o+Po6tltLS0sGPHDsTFxaFdu3aYOnUqli9frtbYpUuXYvLkyfD09ER6ejoiIyNf+vi1Z23cuBHZ2dnw8PDAiBEjEBwcDCsrq8oeilpatGiBQ4cO4cSJE3B3d8fChQuxatUqlWc45+TkIDk5WVrW1tbGwYMHoa+vjy5dumDw4MHo379/qUfYffHFF/Dy8kKHDh2wY8cObNy4UWXe8/P09PQQHR0NKysrBAYGwsXFBUuXLpWmB/Tv3x/ffPMNli9fjjfeeAOhoaEIDw9XeYSaJpRMKfn222/x1ltvITo6GrNnz1bp06NHD/z44484evQoOnTogE6dOmHlypVo3ry52vuxsLBATEwM8vPz4evrC09PT4SFhUlXn8eNG4f169cjIiICLi4u8PX1RUREhPQIOU3Q0dHBqlWrEBoaisaNG6Nfv36vvG+ZTIahQ4fi8uXLpa5Y9+vXD1OnTsWkSZPg7u6Oc+fOYc6cORo7HiIiqt1kQp0Jk7VYbm4uTE1NkZmZWWpObGFhIVJSUtCiRQuVeZ91zYkTJ9CtWzdkZ2dX6dcyK5VK5ObmwsTEBFpa/J2sqjHf1aciua4vnytV6cmTJzh06BACAwP5pTVVjLmuXsx39cnKyoKlpSVycnI0eoM3z7ZERERERGpg4UxEREREpAbeHFgP+Pn5qfUIMyIiIiIqH684ExERERGpgYUz1PtCCSIidfDzhIio7qrXhXPJHa0FBQU1HAkR1RUlnye8Y56IqO6p13OctbW1YWZmhoyMDACAXC4v9fXIpD6lUomioiIUFhby8WjVgPmuPurkWgiBgoICZGRkwMzMrMJfPU5ERK+/el04A4CNjQ0ASMUzVZ4QAo8ePYKBgQF/AakGzHf1qUiuzczMpM8VIiKqW+p94SyTyWBrawsrKys8efKkpsOp1Z48eYJTp07hrbfe4p+pqwHzXX3UzbWuri6vNBMR1WH1vnAuoa2tzRPeK9LW1kZxcTH09fVZyFUD5rv6MNdERATUkpsD165dK319raenJ06fPl3TIRERERFRPfPaF84//PADpkyZglmzZiE+Ph4+Pj7o1asX0tLSajo0IiIiIqpHXvvCeeXKlRg7dizGjRsHJycnhISEwM7ODt99911Nh0ZERERE9chrPce5qKgIcXFxmDlzpkp7QEAAzp07V+aYx48f4/Hjx9JyTk4OAODBgwdVFygBeHoDVUFBAbKysjgPtBow39WHua5ezHf1Ya6rF/NdfUrqPk1/KdVrXThnZmZCoVDA2tpapd3a2hp3794tc8ySJUuwYMGCUu1t2rSpkhiJiIiI6PWUlZUFU1NTjW3vtS6cSzz/3FQhRLnPUv3ss88wbdo0afnvv/9G8+bNkZaWptHEUWm5ubmws7PD7du3YWJiUtPh1HnMd/VhrqsX8119mOvqxXxXn5ycHDRr1gzm5uYa3e5rXThbWlpCW1u71NXljIyMUlehSzRo0AANGjQo1W5qasof0mpiYmLCXFcj5rv6MNfVi/muPsx19WK+q4+mv1n3tb45UE9PD56enjh69KhK+9GjR9G5c+caioqIiIiI6qPX+oozAEybNg0jRoyAl5cXvL29sW7dOqSlpWHChAk1HRoRERER1SOvfeE8ZMgQZGVl4fPPP0d6ejratWuHQ4cOoXnz5mqNb9CgAebNm1fm9A3SLOa6ejHf1Ye5rl7Md/VhrqsX8119qirXMqHp53QQEREREdVBr/UcZyIiIiKi1wULZyIiIiIiNbBwJiIiIiJSAwtnIiIiIiI11PrC+dSpU+jTpw8aN24MmUyG/fv3v3TMyZMn4enpCX19fTg4OOD777+v+kDrgIrmeu/evfD390ejRo1gYmICb29v/O9//6ueYGu5yvxclzh79ix0dHTg7u5eZfHVNZXJ9+PHjzFr1iw0b94cDRo0QMuWLbFx48aqD7aWq0yut27dCjc3N8jlctja2uKjjz5CVlZW1Qdbyy1ZsgQdOnSAsbExrKys0L9/fyQnJ790HM+RlVOZfPM8WTmV/dku8SrnyVpfOD98+BBubm749ttv1eqfkpKCwMBA+Pj4ID4+Hv/5z38QHByMPXv2VHGktV9Fc33q1Cn4+/vj0KFDiIuLQ7du3dCnTx/Ex8dXcaS1X0VzXSInJwcjR47EO++8U0WR1U2VyffgwYNx/PhxbNiwAcnJydi+fTscHR2rMMq6oaK5PnPmDEaOHImxY8fi2rVr2LVrF2JjYzFu3LgqjrT2O3nyJD7++GNcuHABR48eRXFxMQICAvDw4cNyx/AcWXmVyTfPk5VTmVyXeOXzpKhDAIh9+/a9sM+nn34qHB0dVdrGjx8vOnXqVIWR1T3q5Loszs7OYsGCBZoPqA6rSK6HDBkiZs+eLebNmyfc3NyqNK66Sp18Hz58WJiamoqsrKzqCaqOUifXy5cvFw4ODiptq1atEk2bNq3CyOqmjIwMAUCcPHmy3D48R2qOOvkuC8+TFVeRXL/qebLWX3GuqPPnzyMgIEClrUePHrh06RKePHlSQ1HVD0qlEnl5eTA3N6/pUOqk8PBw3Lx5E/PmzavpUOq8yMhIeHl5YdmyZWjSpAnatGmD6dOn49GjRzUdWp3TuXNn3LlzB4cOHYIQAvfu3cPu3bvx7rvv1nRotU5OTg4AvPAzmOdIzVEn38/jebJy1M21Js6Tr/03B2ra3bt3YW1trdJmbW2N4uJiZGZmwtbWtoYiq/tWrFiBhw8fYvDgwTUdSp1z/fp1zJw5E6dPn4aOTr37b13tbt26hTNnzkBfXx/79u1DZmYmJk6ciAcPHnCes4Z17twZW7duxZAhQ1BYWIji4mL07dsXq1evrunQahUhBKZNm4auXbuiXbt25fbjOVIz1M3383ierDh1c62p82S9u+IMADKZTGVZ/N+XJz7fTpqzfft2zJ8/Hz/88AOsrKxqOpw6RaFQ4MMPP8SCBQvQpk2bmg6nXlAqlZDJZNi6dSvefPNNBAYGYuXKlYiIiOBVZw1LTExEcHAw5s6di7i4OBw5cgQpKSmYMGFCTYdWq0yaNAlXrlzB9u3bX9qX58hXV5F8l+B5snLUybUmz5P17tKUjY0N7t69q9KWkZEBHR0dWFhY1FBUddsPP/yAsWPHYteuXejevXtNh1Pn5OXl4dKlS4iPj8ekSZMAPC3shBDQ0dFBdHQ03n777RqOsm6xtbVFkyZNYGpqKrU5OTlBCIE7d+6gdevWNRhd3bJkyRJ06dIFM2bMAAC4urrC0NAQPj4++OKLL3gFVA2ffPIJIiMjcerUKTRt2vSFfXmOfHUVyXcJnicrR91ca/I8We8KZ29vb0RFRam0RUdHw8vLC7q6ujUUVd21fft2jBkzBtu3b+ecxCpiYmKCq1evqrStXbsWMTEx2L17N1q0aFFDkdVdXbp0wa5du5Cfnw8jIyMAwO+//w4tLS21T5SknoKCglJ/VtXW1gbw/6+EUtmEEPjkk0+wb98+nDhxQq3PAp4jK68y+QZ4nqyMiuZao+fJCt9O+JrJy8sT8fHxIj4+XgAQK1euFPHx8eKPP/4QQggxc+ZMMWLECKn/rVu3hFwuF1OnThWJiYliw4YNQldXV+zevbumDqHWqGiut23bJnR0dMSaNWtEenq69Pr7779r6hBqjYrm+nl8qkbFVDTfeXl5omnTpmLgwIHi2rVr4uTJk6J169Zi3LhxNXUItUZFcx0eHi50dHTE2rVrxc2bN8WZM2eEl5eXePPNN2vqEGqNf/7zn8LU1FScOHFC5TO4oKBA6sNzpOZUJt88T1ZOZXL9vMqeJ2t94fzTTz8JAKVeo0aNEkIIMWrUKOHr66sy5sSJE8LDw0Po6ekJe3t78d1331V/4LVQRXPt6+v7wv5Uvsr8XD+LhXPFVCbfSUlJonv37sLAwEA0bdpUTJs2TeVDm8pWmVyvWrVKODs7CwMDA2FrayuGDRsm7ty5U/3B1zJl5RmACA8Pl/rwHKk5lck3z5OVU9mf7WdV9jwp+78AiIiIiIjoBerlUzWIiIiIiCqKhTMRERERkRpYOBMRERERqYGFMxERERGRGlg4ExERERGpgYUzEREREZEaWDgTEREREamBhTMRERERkRpYOBMRERERqYGFMxERvRby8vLQoUMHuLu7w8XFBWFhYTUdEhGRCn7lNhERvRYUCgUeP34MuVyOgoICtGvXDrGxsbCwsKjp0IiIAPCKMxHRa8nPzw9Tpkypkm1nZWXBysoKqampVbL9ytLW1oZcLgcAFBYWQqFQ4NlrOwMHDsTKlStrKjwiIhbOREQlRo8eDZlMBplMBl1dXVhbW8Pf3x8bN26EUqms1lj27t2LhQsXSsuaLKSXLFmCPn36wN7evsJjR48ejZkzZ2okjrL8/fffcHNzQ9OmTfHpp5/C0tJSWjd37lwsWrQIubm5VbZ/IqIXYeFMRPSMnj17Ij09HampqTh8+DC6deuGyZMno3fv3iguLq62OMzNzWFsbKzx7T569AgbNmzAuHHjKjxWqVTi4MGD6Nevn8bjKmFmZobLly8jJSUF27Ztw71796R1rq6usLe3x9atW6ts/0REL8LCmYjoGQ0aNICNjQ2aNGmC9u3b4z//+Q8OHDiAw4cPIyIiAgAghMCyZcvg4OAAAwMDuLm5Yffu3Srb8fPzQ3BwMD799FOYm5vDxsYG8+fPV+mze/duuLi4wMDAABYWFujevTsePnwojS+5wjx69GicPHkS33zzjXRF/PPPP4eFhQUeP36sss33338fI0eOLPf4Dh8+DB0dHXh7e6u0X7t2DW+99RYMDAzg7u6Os2fPQiaT4fLly1Kfs2fPQktLCx07dpTa7t+/j3/84x+wtraWcnHq1CmkpqZCJpNh79690nY9PT2RmpqKEydO4M0334RcLke3bt3w4MGDUnFaW1vD1dUVp06dUmnv27cvtm/fXu7xERFVJRbOREQv8fbbb8PNzQ179+4FAMyePRvh4eH47rvvcO3aNUydOhXDhw/HyZMnVcZt2rQJhoaGuHjxIpYtW4bPP/8cR48eBQCkp6dj6NChGDNmDJKSknDixAkMGDAAZd2v/c0338Db2xtBQUFIT09Heno6/vWvf0GhUCAyMlLql5mZiR9//BEfffRRucdy6tQpeHl5qbRdu3YNnTp1go+PD+Lj4zF37lwMHDgQurq6cHJykvpFRkaiT58+0NJ6eur4448/4OrqiuzsbBw4cABXrlzBJ598AmNjYyQkJAAA1q5di8WLF+P8+fPIysrCiBEj8OWXX2LNmjU4ceIErl69ig0bNgAA7t27J03DyM3NxalTp9C2bVuVWN988038/PPPpX5hICKqDjo1HQARUW3g6OiIK1eu4OHDh1i5ciViYmKkq7YODg44c+YMQkND4evrK41xdXXFvHnzAACtW7fGt99+i+PHj8Pf3x/p6ekoLi7GgAED0Lx5cwCAi4tLmfs2NTWFnp4e5HI5bGxspPYPP/wQ4eHhGDRoEABg69ataNq0Kfz8/Mo9jtTUVDRu3FilbdKkSQgMDMSiRYukY92yZQtu3boFPT09qV9kZCS++uorafmf//wnHB0dsXPnTshkMuk4S/o2bNgQO3bskOYpd+vWDTExMUhMTIShoSEAoEOHDrh79y4A4M6dOxg7diyEEBBCYNKkSXB1dVWJtUmTJnj8+DHu3r0r5Y2IqLqwcCYiUoMQAjKZDImJiSgsLIS/v7/K+qKiInh4eKi0PV/02draIiMjAwDg5uaGd955By4uLujRowcCAgIwcOBANGzYUO2YgoKC0KFDB/z5559o0qQJwsPDpRscy/Po0SPo6+tLyyVTJ3799VeVfg0aNICbm5u0nJSUhDt37qB79+4AgLS0NBw+fBi//PJLmftLSEhA3759VW7uS0tLw9ChQ6WiuaTt3XffBQB4enpKV6rLY2BgAAAoKCh4YT8ioqrAqRpERGpISkpCixYtpKdrHDx4EAkJCdIrMTGx1DxnXV1dlWWZTCaN19bWxtGjR3H48GE4Oztj9erVaNu2LVJSUtSOycPDA25ubvjvf/+LX375BVevXsXo0aNfOMbS0hLZ2dnS8uXLl6Gnp4c33nij1PG6u7tLy5GRkfD395cK1/j4eOjp6ZX6ZeHZ7Xbq1EmlLSEhQWV+dGFhIX7//XeV/bxMyXzoRo0aqT2GiEhTWDgTEb1ETEwMrl69ivfffx/Ozs5o0KAB0tLS0KpVK5WXnZ1dhbYrk8nQpUsXLFiwQCpE9+3bV2ZfPT09KBSKUu3jxo1DeHg4Nm7ciO7du780Bg8PDyQmJkrL2traKC4uRmFhodR28uRJXL58WeWK84EDB9C3b19pWVdXF8XFxWVe+c3NzUVqaqpKUf3HH3/gwYMHKm3Xrl2DQqFQ2c/L/Prrr2jatKnKlWwiourCqRpERM8omT+rUChw7949HDlyBEuWLEHv3r0xcuRIaGtrY/r06Zg6dSqUSiW6du2K3NxcnDt3DkZGRhg1apRa+7l48SKOHz+OgIAAWFlZ4eLFi7h//77KzXjPsre3x8WLF5GamgojIyOYm5tDS0sLw4YNw/Tp0xEWFob//ve/L91vjx498NlnnyE7OxsNGzaEp6cndHV1MWPGDEydOhWJiYnS0zxKrgRnZGQgNjYW+/fvl7bTsWNHmJqa4p///CdmzpwJIQROnToFPz8/3L9/H1paWipTVRISEmBmZqby7OjLly/DwcGhQo/dO336NAICAtTuT0SkSbziTET0jCNHjsDW1hb29vbo2bMnfvrpJ6xatQoHDhyAtrY2AGDhwoWYO3culixZAicnJ/To0QNRUVFo0aKF2vsxMTHBqVOnEBgYiDZt2mD27NlYsWIFevXqVWb/6dOnQ1tbG87OzmjUqBHS0tKk7bz//vswMjJC//79X7pfFxcXeHl5YefOnQCezrveuHEjDhw4AFdXV2zcuBEfffQRWrVqBXNzcwBAVFQUOnbsCCsrK2k7FhYWiIqKwvXr19GhQwd07doV+/fvh7W1NS5fvgxHR0dpWgfwdGrH81eWL1++XKFpGoWFhdi3bx+CgoLUHkNEpEkyUdazj4iIqNbw9/eHk5MTVq1apVb/Q4cOYfr06fj111+lR8uVUCqV6NatG7p06YLFixcDePrs5K5du+LTTz/VeOwVsWbNGhw4cADR0dE1GgcR1V+cqkFEVEs9ePAA0dHRiImJwbfffqv2uMDAQFy/fh1//vknUlJScP/+fXh4eCAzMxPLly9Hamqqylzrrl27YujQoVVxCBWiq6uL1atX13QYRFSP8YozEVEtZW9vj+zsbMyZMwfTp0+v1DZ27dqFmTNn4s8//4S1tTW6d++OxYsXw9raWsPREhHVfiyciYiIiIjUwJsDiYiIiIjUwMKZiIiIiEgNLJyJiIiIiNTAwpmIiIiISA0snImIiIiI1MDCmYiIiIhIDSyciYiIiIjUwMKZiIiIiEgNLJyJiIiIiNTAwpmIiIiISA0snImIiIiI1MDCmYiIiIhIDSyciYiIiIjU8P8Ap/W6Vb/5SAIAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha = 0.05\n",
    "tstat = st.t.ppf([alpha/2,1-alpha/2], len(X)-2)            # calculate t-stat for confidence interval\n",
    "slope_lower,slope_upper = linear.slope + tstat*linear.stderr # calculate the lower and upper confidence interval for b1\n",
    "#intercept_lower,intercept_upper = linear.intercept + tstat*linear.intercept_stderr # \"\" for b0\n",
    "\n",
    "print('The model parameters confidence intervals at a ' + str(1-alpha) + ' significance level are:')\n",
    "print('Slope: P' + str(alpha/2*100) + ' = '+ str(round(slope_lower,2)) + ' , P' + str((1-alpha/2)*100) + ' = ' + str(round(slope_upper,2)))\n",
    "#print('Intercept: ' + str(round(intercept_lower,2)) + ' , ' + str(round(intercept_upper,2)))\n",
    "\n",
    "plt.scatter(X, y, color = 'darkorange',edgecolor='black',alpha=0.8,label='sample data',zorder=10)\n",
    "plt.plot(dX, linear.intercept + linear.slope*dX, 'black', label='linear regression model')\n",
    "plt.plot(dX, linear.intercept + slope_upper*dX, 'black',ls='--',lw=1,label=r'alpha = ' + str(alpha) + ' confidence interval')\n",
    "plt.plot(dX, linear.intercept + slope_lower*dX, 'black',ls='--',lw=1)\n",
    "plt.fill_between(dX,linear.intercept + slope_upper*dX,linear.intercept + slope_lower*dX,color='red',alpha=0.3,zorder=1)\n",
    "plt.title('Sample Data, Linear Regression Model and Slope Confidence Intervals'); plt.xlabel(r'Density ($g/cm^3$)'); plt.ylabel('Porosity (%)')\n",
    "plt.legend(loc='lower left'); plt.grid(); plt.ylim([ymin,ymax]); plt.xlim([xmin,xmax])\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=1.0, top=1.4, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Model Prediction Intervals\n",
    "\n",
    "Let's calculate the prediction intervals.\n",
    "\n",
    "\\begin{equation}\n",
    "\\hat{y}_{n+1} ± t_{(\\frac{\\alpha}{2},n-2)} \\sqrt{MSE}\\ \\times \\sqrt{1+\\frac{1}{n}+\\frac{(x_{n+1}-\\overline{x})^2}{\\sum_{i=1}^{n}(x_{i}-\\overline{x})^2}  }\n",
    "\\end{equation}\n",
    "\n",
    "Note, this is the standard error of the prediction:\n",
    "\n",
    "\\begin{equation}\n",
    "SE_{\\hat{y}_{n+1}} = \\sqrt{MSE}\\ \\times \\sqrt{1+\\frac{1}{n}+\\frac{(x_{n+1}-\\overline{x})^2}{\\sum_{i=1}^{n}(x_{i}-\\overline{x})^2}  }\n",
    "\\end{equation}\n",
    "\n",
    "where MSE, model mean square error calculated as:\n",
    "\n",
    "\\begin{equation}\n",
    "MSE = \\sum_{i=1}^n\\frac{(y_i - \\hat{y}_i)^2}{n-2} = \\sum_{i=1}^n \\frac{\\left(y_i - (b_1 x - b_0) \\right)^2}{n-2}\n",
    "\\end{equation}\n",
    "\n",
    "Note, that this indicates that prediction intervals are wider the further we estimate from the mean of the predictor feature values. We can substitute model MSE, MSE, and standard error of the estimate, $SE_{\\hat{y}_{n+1}}$ for the final form is:\n",
    "\n",
    "\\begin{equation}\n",
    "\\hat{y}_{n+1} ± t_{(\\frac{\\alpha}{2},n-2)} \\sqrt{\\sum_{i=1}^n \\frac{\\left(y_i - (b_1 x - b_0) \\right)^2}{n-2}}\\sqrt{1+\\frac{1}{n}+\\frac{(x_{n+1}-\\overline{x})^2}{\\sum_{i=1}^{n}(x_{i}-\\overline{x})^2}  }\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "For the alpha level of: alpha = 0.05, \n",
      "the t-statistic is: -1.98\n",
      "\n",
      "For the prediction at: X = 2.0, \n",
      "the standard error of the prediction is: 1.73\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "new_X = 2.0\n",
    "alpha = 0.05\n",
    "\n",
    "tstat = st.t.ppf([alpha/2,1-alpha/2], len(X)-2)\n",
    "\n",
    "print('For the alpha level of: alpha = ' + str(alpha) + \\\n",
    "      ', \\nthe t-statistic is: ' + str(round(tstat[0],2)))\n",
    "\n",
    "yhat = linear.intercept + linear.slope*X\n",
    "MSE = np.sum(np.power(y-yhat,2))/(len(y)-2) # mean square error\n",
    "est_stderr = math.sqrt(MSE) \\\n",
    "      *math.sqrt(1 + 1/len(y) + np.power(new_X - np.average(X),2)/ \\\n",
    "      np.sum(np.power(X-np.average(X),2)))\n",
    "\n",
    "print('\\nFor the prediction at: X = ' + str(new_X) + \\\n",
    "      ', \\nthe standard error of the prediction is: ' + str(round(est_stderr,2)))\n",
    "\n",
    "y_pred_lower, y_pred_upper = linear.intercept + linear.slope*new_X + tstat*est_stderr\n",
    "\n",
    "plt.scatter(X, y, color = 'darkorange',edgecolor='black',alpha=0.8,label='sample data',zorder=1)\n",
    "plt.plot(dX, linear.intercept + linear.slope*dX, 'black', label='linear regression model',zorder=1)\n",
    "plt.scatter(new_X, linear.intercept + linear.slope*new_X,s=80,color='yellow',edgecolor='black',label='prediction, $\\hat{y}$',zorder=2)\n",
    "plt.plot([new_X,new_X],[y_pred_lower,y_pred_upper],color='black',linestyle='dashed',zorder=1,label='prediction interval')\n",
    "plt.title('Sample Data, Linear Regression Model and Prediction Interval'); plt.xlabel(r'Density ($g/cm^3$)'); plt.ylabel('Porosity (%)')\n",
    "plt.legend(); plt.grid(); plt.ylim([4,22]); plt.xlim([1.0,2.4])\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=1.0, top=1.4, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's plot the prediction interval over the entire range of possible predictions and compare with the confidence interval.\n",
    "\n",
    "* we will also plot the standard error of the estimate to show the subtle heteroscedasticity of the prediction interval, the prediction error increases away from the mean of predictor feature values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha = 0.05\n",
    "\n",
    "tstat = st.t.ppf([alpha/2,1-alpha/2], len(X)-2)   \n",
    "slope_lower,slope_upper = linear.slope + tstat*linear.stderr  # confidence interval\n",
    "\n",
    "yhat = linear.intercept + linear.slope*X                 \n",
    "MSE = np.sum(np.power(y-yhat,2))/(len(X)-2)            # prediction interval: model MSE\n",
    "    \n",
    "y_pred_lower_mat = np.zeros(len(dX)); y_pred_upper_mat = np.zeros(len(dX))\n",
    "est_stderr_mat = np.zeros(len(dX))\n",
    "\n",
    "for inew_X, new_X in enumerate(dX):\n",
    "    est_stderr_mat[inew_X] = math.sqrt(MSE) * math.sqrt(1 + 1/len(X) + np.power(new_X - np.average(X),2)/np.sum(np.power(X-np.average(X),2)))\n",
    "    y_pred_lower_mat[inew_X], y_pred_upper_mat[inew_X] = linear.intercept + linear.slope*new_X + tstat*est_stderr_mat[inew_X]\n",
    "\n",
    "plt.subplot(121)\n",
    "plt.plot(dX,est_stderr_mat,c='r',ls='--',lw=1,label='standard error of the prediction')\n",
    "plt.plot([np.average(X),np.average(X)],[1.7,1.8],c='black',lw=1)\n",
    "plt.annotate('Prediction Feature Mean',[np.average(dX)*0.98,1.767],rotation=90)\n",
    "plt.title('Standard Error of the Estimate vs. Predictor Value'); plt.xlabel(r'Density ($g/cm^3$)'); plt.ylabel('Standard Error of the Prediction, Porosity (%)')\n",
    "plt.legend(loc='lower left'); plt.grid(); plt.xlim([xmin,xmax]); plt.ylim([1.7,1.8])\n",
    "\n",
    "plt.subplot(122)\n",
    "plt.plot(dX, linear.intercept + linear.slope*dX, 'black', label='linear regression model')\n",
    "plt.plot([np.average(X),np.average(X)],[ymin,ymax],c='black',lw=1)\n",
    "plt.annotate('Prediction Feature Mean',[np.average(X)*0.98,16],rotation=90)\n",
    "plt.plot(dX,y_pred_lower_mat,c='black',lw=1,zorder=1)\n",
    "plt.plot(dX,y_pred_upper_mat,c='black',lw=1)\n",
    "plt.fill_between(dX,y_pred_upper_mat,y_pred_lower_mat,color='red',alpha=0.3,zorder=1,label=r'alpha = ' + str(alpha) + ' prediction interval')\n",
    "\n",
    "plt.plot(dX, linear.intercept + slope_upper*dX, 'black',lw=1,ls='-.')\n",
    "plt.plot(dX, linear.intercept + slope_lower*dX, 'black',lw=1,ls='-.')\n",
    "plt.fill_between(dX,linear.intercept + slope_upper*dX,linear.intercept + slope_lower*dX,color='black',alpha=0.3,zorder=1,label=r'alpha = ' + str(alpha) + ' confidence interval')\n",
    "plt.title('Linear Regression Model, Confidence Interval and Prediction Interval'); plt.xlabel(r'Density ($g/cm^3$)'); plt.ylabel('Porosity (%)')\n",
    "plt.legend(); plt.grid(); plt.ylim([ymin,ymax]); plt.xlim([xmin,xmax])\n",
    "\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=2.0, top=1.4, wspace=0.2, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Model Checking\n",
    "\n",
    "Let's test the slope with the following hypothesis test:\n",
    "\n",
    "\\begin{equation}\n",
    "H_0: b_{1} = 0.0\n",
    "\\end{equation}\n",
    "\n",
    "\\begin{equation}\n",
    "H_1: b_{1} \\ne 0.0\n",
    "\\end{equation}\n",
    "\n",
    "and see if we can reject this hypothesis, $H_{0}$ , that the slope parameter is equal to 0.0.  If we reject this null hypothesis, we show that the slope is meaning full and there is a linear relationship between density and porosity that we can use.\n",
    "\n",
    "Fortunately, the linregress function from the stats module of SciPy package provides us with the two sided p-value for this test.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The linear regression model slope parameter p-value is 0.0.\n"
     ]
    }
   ],
   "source": [
    "print('The linear regression model slope parameter p-value is ' + str(round(linear.pvalue,20)) + '.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's calculate the $r^2$, proportion of variance explained. Here's the variance explained by the model:\n",
    "\n",
    "\\begin{equation}\n",
    "𝑠𝑠𝑟𝑒𝑔 = \\sum_{𝑖=1}^{𝑛}\\left(\\hat{y}_i - \\overline{y}\\right)^2 \n",
    "\\end{equation}\n",
    "\n",
    "and the variance not explained by the model:\n",
    "\n",
    "\\begin{equation}\n",
    "𝑠𝑠𝑟𝑒sid = \\sum_{𝑖=1}^{𝑛}\\left(y_i - \\hat{y}\\right)^2 \n",
    "\\end{equation}\n",
    "\n",
    "Now we can calculate the variance explained as:\n",
    "\n",
    "\\begin{equation}\n",
    "𝑟^2 = \\frac{𝑠𝑠𝑟𝑒𝑔}{𝑠𝑠𝑟𝑒𝑔+𝑠𝑠𝑟𝑒𝑠𝑖𝑑} = \\frac{\\text{variance explained}}{\\text{total variance}}\n",
    "\\end{equation}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The r-squared value of the linear regression model is 0.702\n"
     ]
    }
   ],
   "source": [
    "r2 = linear.rvalue**2\n",
    "print('The r-squared value of the linear regression model is ' + str(round(r2,3)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's perform a f-test for the significance of all model parameters at once.\n",
    "\n",
    "\\begin{equation}\n",
    "H_0: b_i = 0, \\forall i\n",
    "\\end{equation}\n",
    "\n",
    "\\begin{equation}\n",
    "H_1: otherwise\n",
    "\\end{equation}\n",
    "\n",
    "To test this hypothesis we calculate the $f_{statistic}$ and $f_{critical}$ as:\n",
    "\n",
    "\\begin{equation}\n",
    "f_{statistic} = \\frac{\\text{Mean Squares of Model}}{\\text{Mean Squares of Error}}   \n",
    "\\end{equation}\n",
    "\n",
    "\\begin{equation}\n",
    "f_{statistic} = \\frac{ \\frac{\\sum_{𝑖=1}^{𝑛}(\\hat{y}_i - \\overline{y})^2}{k-1} } { \\frac{\\sum_{𝑖=1}^{𝑛}\\left(y_i - \\hat{y}\\right)^2}{n-k} }\n",
    "\\end{equation}\n",
    "\n",
    "and now we can calculate the $f_{critical}$ value as:\n",
    "\n",
    "\\begin{equation}\n",
    "𝑓_{𝑐𝑟𝑖𝑡𝑖𝑐𝑎𝑙}  = f_{k-1,n-k}(1-𝛼)\n",
    "\\end{equation}\n",
    "\n",
    "Since this is a one-tail test, if $f_{statistic} > f_{critical}$, then we reject the null hypothesis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The f-stat is : 345.68 and the f-critical is : 3.933\n",
      "Therefore we reject the null hypothesis, \n",
      "our model parameters are significant\n"
     ]
    }
   ],
   "source": [
    "alpha = 0.05                                                 # alpha level, 1 - confidence level\n",
    "k = 2                                                        # number of model parameters\n",
    "ms_model = np.sum(np.power(y-np.average(y),2))/(k-1)     # f-test, calculate f-stat and f-critical\n",
    "ms_error = np.sum(np.power(y-yhat,2))/(len(y)-k)\n",
    "f_stat = ms_model/ms_error                                   \n",
    "f_crit = st.f.ppf(1-alpha, k-1, len(y)-k)\n",
    "\n",
    "print('The f-stat is : ' + str(round(f_stat,2)) + ' and the f-critical is : ' + str(round(f_crit,3)))\n",
    "\n",
    "if f_stat > f_crit:\n",
    "    print('Therefore we reject the null hypothesis, \\nour model parameters are significant')\n",
    "if f_stat <= f_crit:\n",
    "    print('Therefore we fail to reject the null hypothesis, \\nour model parameters are NOT significant')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Correlation Coefficient\n",
    "\n",
    "We can also observe correlation coefficient.\n",
    "\n",
    "* valid and useful for our linear model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The correlation coefficient is = -0.84\n"
     ]
    }
   ],
   "source": [
    "print('The correlation coefficient is = ' + str(round(linear.rvalue,2))) # correlation coefficient"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Model Cross Validation\n",
    "\n",
    "Let's use this model to make a prediction at all the data locations.  \n",
    "\n",
    "* now plot a standard model cross validation plot, actual vs. predicted values for the response feature\n",
    "* note, we are only looking at data used to build the model, known as training data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alpha = 0.05                                                 # alpha level, 1 - confidence level\n",
    "yhat = linear.slope * X + linear.intercept              # estimate at the training data location\n",
    "plt.scatter(yhat,y,color='darkorange',alpha=0.8,edgecolor='black')\n",
    "plt.plot([ymin,ymax],[ymin,ymax],color='black',linewidth=1)\n",
    "plt.ylabel('Actual ' + ylabel ); plt.xlabel('Estimated ' + ylabel ); \n",
    "plt.title('Training Data Cross Validation Plot')\n",
    "plt.xlim(ymin,ymax); plt.ylim(ymin,ymax)\n",
    "plt.grid(); plt.subplots_adjust(left=0.0, bottom=0.0, right=1.0, top=1.4, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's look at the distribution of estimates."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(yhat,color='darkorange',alpha=0.4,edgecolor='black',bins=np.linspace(ymin,ymax,30),label='Predictions')\n",
    "plt.hist(y,color='grey',alpha=0.4,edgecolor='black',bins=np.linspace(ymin,ymax,30),label='Data')\n",
    "\n",
    "plt.annotate('Data Mean = ' + str(np.round(np.average(y),2)),xy=[17.5,20],color='grey')\n",
    "plt.annotate('Predictions Mean = ' + str(np.round(np.average(yhat),2)),xy=[17.5,19.0],color='darkorange')\n",
    "\n",
    "plt.annotate('Data St.Dev. = ' + str(np.round(np.std(y),2)),xy=[17.5,18],color='grey')\n",
    "plt.annotate('Predictions St.Dev. = ' + str(np.round(np.std(yhat),2)),xy=[17.5,17.0],color='darkorange')\n",
    "\n",
    "\n",
    "plt.title(yname + \" Predictions with Linear Model\")\n",
    "plt.xlabel(ylabel); plt.ylabel('Frequency'); plt.legend(loc='upper right')\n",
    "plt.xlim([0,25]); plt.ylim([0,25])\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=1.0, top=1.2, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is useful to plot the predictions of porosity and porosity data vs. the density data. From this plot we can observe the linear limitation of our model and get a sense of the unexplained variance $\\frac{\\sum_{i=1}^{n}(y_i - \\hat{y}_i)^2} {n-1}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(X, y,color='black',alpha=0.8,facecolor='grey',label='sample data',zorder=10)\n",
    "plt.scatter(X, yhat,color='black',s=40,facecolor='darkorange',alpha=0.8,label='model',zorder=10)\n",
    "plt.plot(dX, linear.intercept + linear.slope*dX, 'black', label='linear regression model',zorder=1)\n",
    "\n",
    "for i in range(0,len(X)):\n",
    "    plt.plot([X[i],X[i]],[y[i],yhat[i]],c='grey',alpha=0.8,ls='--',zorder=1)\n",
    "plt.title('Sample Data and Model'); plt.xlabel(xlabel); plt.ylabel(ylabel)\n",
    "plt.legend()\n",
    "plt.grid(True); plt.subplots_adjust(left=0.0, bottom=0.0, right=1.0, top=1.2, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next let's calculate the residual and check their distribution. \n",
    "\n",
    "* residuals are the true values at the data locations minus the estimates at the data locations, $y_i - \\hat{y}_i$.  \n",
    "\n",
    "We want to make sure the average is close to 0.0 (unbiased estimates) and to observe the shape and spread of the residual distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The average of the residuals is 0.0\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "residual = y - yhat\n",
    "plt.hist(residual,color='darkorange',alpha=0.8,edgecolor='black',bins=np.linspace(-5,5,30))\n",
    "plt.title(\"Residual\")\n",
    "plt.xlabel(yname + ' True - Estimate (' + yunits +')')\n",
    "plt.grid(True)\n",
    "print('The average of the residuals is ' + str(round(np.mean(residual),2)))\n",
    "plt.subplots_adjust(left=0.0, bottom=0.0, right=1.0, top=1.2, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we will check the residual vs. the fitted value.  \n",
    "\n",
    "* we want to see if the errors are consistent over the range of fitted values.  \n",
    "\n",
    "* for example, we could use this plot to identify higher error or systematic under- or overestimation over a specific range of fitted values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(yhat,residual,facecolor='darkorange',alpha=0.8,color='black')\n",
    "plt.title('Residual vs. Fitted Value')\n",
    "plt.xlabel(yname + ' Estimate (%)')\n",
    "plt.ylabel(yname + ' Residual (%)')\n",
    "plt.plot([5,20], [0,0],'black')\n",
    "plt.grid(True); plt.subplots_adjust(left=0.0, bottom=0.0, right=1.0, top=1.2, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Let's Rebuild the Model with scikit-learn\n",
    "\n",
    "* scikit-learn is one of the most popular Python machine learning packages\n",
    "\n",
    "* demonstrates the standard scikit-learn approach\n",
    "\n",
    "1. **instantiate** - make the model object while setting the hyperparameters (none for linear regression)\n",
    "2. **fit** - train the model parameters with training data (we aren't doing train and test split yet) \n",
    "3. **predict** - use the trained model to make predictions (for demonstration we just predict at the training data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "linear_model = LinearRegression()                           # instantiate the prediction model\n",
    "linear_model.fit(X.reshape(-1, 1),y)             # train the model with the training data\n",
    "yhat_scikit = linear_model.predict(X.reshape(-1, 1)) #$ predict with the trained model\n",
    "\n",
    "plt.scatter(X, y,color='black',alpha=0.8,facecolor='grey',label='sample data',zorder=10)\n",
    "plt.scatter(X, yhat_scikit,color='black',s=40,facecolor='darkorange',alpha=0.8,label='model',zorder=10)\n",
    "plt.plot(dX, linear.intercept + linear.slope*dX, 'black', label='linear regression model',zorder=1)\n",
    "\n",
    "for i in range(0,len(X)):\n",
    "    plt.plot([X[i],X[i]],[y[i],yhat_scikit[i]],c='grey',alpha=0.8,ls='--',zorder=1)\n",
    "    \n",
    "plt.title('Sample Data and scikit-learn Model'); plt.xlabel(xlabel); plt.ylabel(ylabel)\n",
    "plt.legend()\n",
    "plt.grid(True); plt.subplots_adjust(left=0.0, bottom=0.0, right=1.0, top=1.2, wspace=0.1, hspace=0.2); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Comments\n",
    "\n",
    "This was a basic demonstration of linear regression in Python with the SciPy package.\n",
    "\n",
    "I have other demonstrations on the basics of working with DataFrames, ndarrays, univariate statistics, plotting data, declustering, data transformations, trend modeling and many other workflows available at https://github.com/GeostatsGuy/PythonNumericalDemos and https://github.com/GeostatsGuy/GeostatsPy. \n",
    "  \n",
    "I hope this was helpful,\n",
    "\n",
    "*Michael*\n",
    "\n",
    "#### The Author:\n",
    "\n",
    "### Michael Pyrcz, Professor, The University of Texas at Austin \n",
    "*Novel Data Analytics, Geostatistics and Machine Learning Subsurface Solutions*\n",
    "\n",
    "With over 17 years of experience in subsurface consulting, research and development, Michael has returned to academia driven by his passion for teaching and enthusiasm for enhancing engineers' and geoscientists' impact in subsurface resource development. \n",
    "\n",
    "For more about Michael check out these links:\n",
    "\n",
    "#### [Twitter](https://twitter.com/geostatsguy) | [GitHub](https://github.com/GeostatsGuy) | [Website](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446) | [YouTube](https://www.youtube.com/channel/UCLqEr-xV-ceHdXXXrTId5ig)  | [LinkedIn](https://www.linkedin.com/in/michael-pyrcz-61a648a1)\n",
    "\n",
    "#### Want to Work Together?\n",
    "\n",
    "I hope this content is helpful to those that want to learn more about subsurface modeling, data analytics and machine learning. Students and working professionals are welcome to participate.\n",
    "\n",
    "* Want to invite me to visit your company for training, mentoring, project review, workflow design and / or consulting? I'd be happy to drop by and work with you! \n",
    "\n",
    "* Interested in partnering, supporting my graduate student research or my Subsurface Data Analytics and Machine Learning consortium (co-PIs including Profs. Foster, Torres-Verdin and van Oort)? My research combines data analytics, stochastic modeling and machine learning theory with practice to develop novel methods and workflows to add value. We are solving challenging subsurface problems!\n",
    "\n",
    "* I can be reached at mpyrcz@austin.utexas.edu.\n",
    "\n",
    "I'm always happy to discuss,\n",
    "\n",
    "*Michael*\n",
    "\n",
    "Michael Pyrcz, Ph.D., P.Eng. Professor, Cockrell School of Engineering and The Jackson School of Geosciences, The University of Texas at Austin\n",
    "\n",
    "#### More Resources Available at: [Twitter](https://twitter.com/geostatsguy) | [GitHub](https://github.com/GeostatsGuy) | [Website](http://michaelpyrcz.com) | [GoogleScholar](https://scholar.google.com/citations?user=QVZ20eQAAAAJ&hl=en&oi=ao) | [Book](https://www.amazon.com/Geostatistical-Reservoir-Modeling-Michael-Pyrcz/dp/0199731446) | [YouTube](https://www.youtube.com/channel/UCLqEr-xV-ceHdXXXrTId5ig)  | [LinkedIn](https://www.linkedin.com/in/michael-pyrcz-61a648a1)"
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